Algebra Examples

$f (x) = x^{2} {(x - 5)}^{3} (x + 2)$

Step 1

Identify the degree of the function.

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Step 1.1

Simplify and reorder the polynomial.

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Step 1.1.1

Use the Binomial Theorem.

$x^{2} (x^{3} + 3 x^{2} \cdot - 5 + 3 x {(- 5)}^{2} + {(- 5)}^{3}) (x + 2)$

Step 1.1.2

Simplify terms.

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Step 1.1.2.1

Simplify each term.

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Step 1.1.2.1.1

Multiply $- 5$ by $3$ .

$x^{2} (x^{3} - 15 x^{2} + 3 x {(- 5)}^{2} + {(- 5)}^{3}) (x + 2)$

Step 1.1.2.1.2

Raise $- 5$ to the power of $2$ .

$x^{2} (x^{3} - 15 x^{2} + 3 x \cdot 25 + {(- 5)}^{3}) (x + 2)$

Step 1.1.2.1.3

Multiply $25$ by $3$ .

$x^{2} (x^{3} - 15 x^{2} + 75 x + {(- 5)}^{3}) (x + 2)$

Step 1.1.2.1.4

Raise $- 5$ to the power of $3$ .

$x^{2} (x^{3} - 15 x^{2} + 75 x - 125) (x + 2)$

Step 1.1.2.2

Apply the distributive property.

$(x^{2} x^{3} + x^{2} (- 15 x^{2}) + x^{2} (75 x) + x^{2} \cdot - 125) (x + 2)$

Step 1.1.3

Simplify.

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Step 1.1.3.1

Multiply $x^{2}$ by $x^{3}$ by adding the exponents.

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Step 1.1.3.1.1

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$(x^{2 + 3} + x^{2} (- 15 x^{2}) + x^{2} (75 x) + x^{2} \cdot - 125) (x + 2)$

Step 1.1.3.1.2

Add $2$ and $3$ .

$(x^{5} + x^{2} (- 15 x^{2}) + x^{2} (75 x) + x^{2} \cdot - 125) (x + 2)$

Step 1.1.3.2

Rewrite using the commutative property of multiplication.

$(x^{5} - 15 x^{2} x^{2} + x^{2} (75 x) + x^{2} \cdot - 125) (x + 2)$

Step 1.1.3.3

Rewrite using the commutative property of multiplication.

$(x^{5} - 15 x^{2} x^{2} + 75 x^{2} x + x^{2} \cdot - 125) (x + 2)$

Step 1.1.3.4

Move $- 125$ to the left of $x^{2}$ .

$(x^{5} - 15 x^{2} x^{2} + 75 x^{2} x - 125 \cdot x^{2}) (x + 2)$

Step 1.1.4

Simplify each term.

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Step 1.1.4.1

Multiply $x^{2}$ by $x^{2}$ by adding the exponents.

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Step 1.1.4.1.1

Move $x^{2}$ .

$(x^{5} - 15 (x^{2} x^{2}) + 75 x^{2} x - 125 \cdot x^{2}) (x + 2)$

Step 1.1.4.1.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$(x^{5} - 15 x^{2 + 2} + 75 x^{2} x - 125 \cdot x^{2}) (x + 2)$

Step 1.1.4.1.3

Add $2$ and $2$ .

$(x^{5} - 15 x^{4} + 75 x^{2} x - 125 \cdot x^{2}) (x + 2)$

Step 1.1.4.2

Multiply $x^{2}$ by $x$ by adding the exponents.

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Step 1.1.4.2.1

Move $x$ .

$(x^{5} - 15 x^{4} + 75 (x \cdot x^{2}) - 125 \cdot x^{2}) (x + 2)$

Step 1.1.4.2.2

Multiply $x$ by $x^{2}$ .

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Step 1.1.4.2.2.1

Raise $x$ to the power of $1$ .

$(x^{5} - 15 x^{4} + 75 (x^{1} x^{2}) - 125 \cdot x^{2}) (x + 2)$

Step 1.1.4.2.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$(x^{5} - 15 x^{4} + 75 x^{1 + 2} - 125 \cdot x^{2}) (x + 2)$

Step 1.1.4.2.3

Add $1$ and $2$ .

$(x^{5} - 15 x^{4} + 75 x^{3} - 125 \cdot x^{2}) (x + 2)$

$(x^{5} - 15 x^{4} + 75 x^{3} - 125 x^{2}) (x + 2)$

Step 1.1.5

Expand $(x^{5} - 15 x^{4} + 75 x^{3} - 125 x^{2}) (x + 2)$ by multiplying each term in the first expression by each term in the second expression.

$x^{5} x + x^{5} \cdot 2 - 15 x^{4} x - 15 x^{4} \cdot 2 + 75 x^{3} x + 75 x^{3} \cdot 2 - 125 x^{2} x - 125 x^{2} \cdot 2$

Step 1.1.6

Simplify terms.

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Step 1.1.6.1

Simplify each term.

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Step 1.1.6.1.1

Multiply $x^{5}$ by $x$ by adding the exponents.

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Step 1.1.6.1.1.1

Multiply $x^{5}$ by $x$ .

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Step 1.1.6.1.1.1.1

Raise $x$ to the power of $1$ .

$x^{5} x^{1} + x^{5} \cdot 2 - 15 x^{4} x - 15 x^{4} \cdot 2 + 75 x^{3} x + 75 x^{3} \cdot 2 - 125 x^{2} x - 125 x^{2} \cdot 2$

Step 1.1.6.1.1.1.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$x^{5 + 1} + x^{5} \cdot 2 - 15 x^{4} x - 15 x^{4} \cdot 2 + 75 x^{3} x + 75 x^{3} \cdot 2 - 125 x^{2} x - 125 x^{2} \cdot 2$

Step 1.1.6.1.1.2

Add $5$ and $1$ .

$x^{6} + x^{5} \cdot 2 - 15 x^{4} x - 15 x^{4} \cdot 2 + 75 x^{3} x + 75 x^{3} \cdot 2 - 125 x^{2} x - 125 x^{2} \cdot 2$

Step 1.1.6.1.2

Move $2$ to the left of $x^{5}$ .

$x^{6} + 2 \cdot x^{5} - 15 x^{4} x - 15 x^{4} \cdot 2 + 75 x^{3} x + 75 x^{3} \cdot 2 - 125 x^{2} x - 125 x^{2} \cdot 2$

Step 1.1.6.1.3

Multiply $x^{4}$ by $x$ by adding the exponents.

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Step 1.1.6.1.3.1

Move $x$ .

$x^{6} + 2 x^{5} - 15 (x \cdot x^{4}) - 15 x^{4} \cdot 2 + 75 x^{3} x + 75 x^{3} \cdot 2 - 125 x^{2} x - 125 x^{2} \cdot 2$

Step 1.1.6.1.3.2

Multiply $x$ by $x^{4}$ .

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Step 1.1.6.1.3.2.1

Raise $x$ to the power of $1$ .

$x^{6} + 2 x^{5} - 15 (x^{1} x^{4}) - 15 x^{4} \cdot 2 + 75 x^{3} x + 75 x^{3} \cdot 2 - 125 x^{2} x - 125 x^{2} \cdot 2$

Step 1.1.6.1.3.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$x^{6} + 2 x^{5} - 15 x^{1 + 4} - 15 x^{4} \cdot 2 + 75 x^{3} x + 75 x^{3} \cdot 2 - 125 x^{2} x - 125 x^{2} \cdot 2$

Step 1.1.6.1.3.3

Add $1$ and $4$ .

$x^{6} + 2 x^{5} - 15 x^{5} - 15 x^{4} \cdot 2 + 75 x^{3} x + 75 x^{3} \cdot 2 - 125 x^{2} x - 125 x^{2} \cdot 2$

Step 1.1.6.1.4

Multiply $2$ by $- 15$ .

$x^{6} + 2 x^{5} - 15 x^{5} - 30 x^{4} + 75 x^{3} x + 75 x^{3} \cdot 2 - 125 x^{2} x - 125 x^{2} \cdot 2$

Step 1.1.6.1.5

Multiply $x^{3}$ by $x$ by adding the exponents.

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Step 1.1.6.1.5.1

Move $x$ .

$x^{6} + 2 x^{5} - 15 x^{5} - 30 x^{4} + 75 (x \cdot x^{3}) + 75 x^{3} \cdot 2 - 125 x^{2} x - 125 x^{2} \cdot 2$

Step 1.1.6.1.5.2

Multiply $x$ by $x^{3}$ .

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Step 1.1.6.1.5.2.1

Raise $x$ to the power of $1$ .

$x^{6} + 2 x^{5} - 15 x^{5} - 30 x^{4} + 75 (x^{1} x^{3}) + 75 x^{3} \cdot 2 - 125 x^{2} x - 125 x^{2} \cdot 2$

Step 1.1.6.1.5.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$x^{6} + 2 x^{5} - 15 x^{5} - 30 x^{4} + 75 x^{1 + 3} + 75 x^{3} \cdot 2 - 125 x^{2} x - 125 x^{2} \cdot 2$

Step 1.1.6.1.5.3

Add $1$ and $3$ .

$x^{6} + 2 x^{5} - 15 x^{5} - 30 x^{4} + 75 x^{4} + 75 x^{3} \cdot 2 - 125 x^{2} x - 125 x^{2} \cdot 2$

Step 1.1.6.1.6

Multiply $2$ by $75$ .

$x^{6} + 2 x^{5} - 15 x^{5} - 30 x^{4} + 75 x^{4} + 150 x^{3} - 125 x^{2} x - 125 x^{2} \cdot 2$

Step 1.1.6.1.7

Multiply $x^{2}$ by $x$ by adding the exponents.

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Step 1.1.6.1.7.1

Move $x$ .

$x^{6} + 2 x^{5} - 15 x^{5} - 30 x^{4} + 75 x^{4} + 150 x^{3} - 125 (x \cdot x^{2}) - 125 x^{2} \cdot 2$

Step 1.1.6.1.7.2

Multiply $x$ by $x^{2}$ .

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Step 1.1.6.1.7.2.1

Raise $x$ to the power of $1$ .

$x^{6} + 2 x^{5} - 15 x^{5} - 30 x^{4} + 75 x^{4} + 150 x^{3} - 125 (x^{1} x^{2}) - 125 x^{2} \cdot 2$

Step 1.1.6.1.7.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$x^{6} + 2 x^{5} - 15 x^{5} - 30 x^{4} + 75 x^{4} + 150 x^{3} - 125 x^{1 + 2} - 125 x^{2} \cdot 2$

Step 1.1.6.1.7.3

Add $1$ and $2$ .

$x^{6} + 2 x^{5} - 15 x^{5} - 30 x^{4} + 75 x^{4} + 150 x^{3} - 125 x^{3} - 125 x^{2} \cdot 2$

Step 1.1.6.1.8

Multiply $2$ by $- 125$ .

$x^{6} + 2 x^{5} - 15 x^{5} - 30 x^{4} + 75 x^{4} + 150 x^{3} - 125 x^{3} - 250 x^{2}$

Step 1.1.6.2

Simplify by adding terms.

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Step 1.1.6.2.1

Subtract $15 x^{5}$ from $2 x^{5}$ .

$x^{6} - 13 x^{5} - 30 x^{4} + 75 x^{4} + 150 x^{3} - 125 x^{3} - 250 x^{2}$

Step 1.1.6.2.2

Add $- 30 x^{4}$ and $75 x^{4}$ .

$x^{6} - 13 x^{5} + 45 x^{4} + 150 x^{3} - 125 x^{3} - 250 x^{2}$

Step 1.1.6.2.3

Subtract $125 x^{3}$ from $150 x^{3}$ .

$x^{6} - 13 x^{5} + 45 x^{4} + 25 x^{3} - 250 x^{2}$

Step 1.2

The largest exponent is the degree of the polynomial.

$6$

Step 2

Since the degree is even, the ends of the function will point in the same direction.

Even

Step 3

Identify the leading coefficient.

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Step 3.1

Simplify the polynomial, then reorder it left to right starting with the highest degree term.

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Step 3.1.1

Use the Binomial Theorem.

$x^{2} (x^{3} + 3 x^{2} \cdot - 5 + 3 x {(- 5)}^{2} + {(- 5)}^{3}) (x + 2)$

Step 3.1.2

Simplify terms.

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Step 3.1.2.1

Simplify each term.

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Step 3.1.2.1.1

Multiply $- 5$ by $3$ .

$x^{2} (x^{3} - 15 x^{2} + 3 x {(- 5)}^{2} + {(- 5)}^{3}) (x + 2)$

Step 3.1.2.1.2

Raise $- 5$ to the power of $2$ .

$x^{2} (x^{3} - 15 x^{2} + 3 x \cdot 25 + {(- 5)}^{3}) (x + 2)$

Step 3.1.2.1.3

Multiply $25$ by $3$ .

$x^{2} (x^{3} - 15 x^{2} + 75 x + {(- 5)}^{3}) (x + 2)$

Step 3.1.2.1.4

Raise $- 5$ to the power of $3$ .

$x^{2} (x^{3} - 15 x^{2} + 75 x - 125) (x + 2)$

Step 3.1.2.2

Apply the distributive property.

$(x^{2} x^{3} + x^{2} (- 15 x^{2}) + x^{2} (75 x) + x^{2} \cdot - 125) (x + 2)$

Step 3.1.3

Simplify.

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Step 3.1.3.1

Multiply $x^{2}$ by $x^{3}$ by adding the exponents.

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Step 3.1.3.1.1

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$(x^{2 + 3} + x^{2} (- 15 x^{2}) + x^{2} (75 x) + x^{2} \cdot - 125) (x + 2)$

Step 3.1.3.1.2

Add $2$ and $3$ .

$(x^{5} + x^{2} (- 15 x^{2}) + x^{2} (75 x) + x^{2} \cdot - 125) (x + 2)$

Step 3.1.3.2

Rewrite using the commutative property of multiplication.

$(x^{5} - 15 x^{2} x^{2} + x^{2} (75 x) + x^{2} \cdot - 125) (x + 2)$

Step 3.1.3.3

Rewrite using the commutative property of multiplication.

$(x^{5} - 15 x^{2} x^{2} + 75 x^{2} x + x^{2} \cdot - 125) (x + 2)$

Step 3.1.3.4

Move $- 125$ to the left of $x^{2}$ .

$(x^{5} - 15 x^{2} x^{2} + 75 x^{2} x - 125 \cdot x^{2}) (x + 2)$

Step 3.1.4

Simplify each term.

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Step 3.1.4.1

Multiply $x^{2}$ by $x^{2}$ by adding the exponents.

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Step 3.1.4.1.1

Move $x^{2}$ .

$(x^{5} - 15 (x^{2} x^{2}) + 75 x^{2} x - 125 \cdot x^{2}) (x + 2)$

Step 3.1.4.1.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$(x^{5} - 15 x^{2 + 2} + 75 x^{2} x - 125 \cdot x^{2}) (x + 2)$

Step 3.1.4.1.3

Add $2$ and $2$ .

$(x^{5} - 15 x^{4} + 75 x^{2} x - 125 \cdot x^{2}) (x + 2)$

Step 3.1.4.2

Multiply $x^{2}$ by $x$ by adding the exponents.

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Step 3.1.4.2.1

Move $x$ .

$(x^{5} - 15 x^{4} + 75 (x \cdot x^{2}) - 125 \cdot x^{2}) (x + 2)$

Step 3.1.4.2.2

Multiply $x$ by $x^{2}$ .

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Step 3.1.4.2.2.1

Raise $x$ to the power of $1$ .

$(x^{5} - 15 x^{4} + 75 (x^{1} x^{2}) - 125 \cdot x^{2}) (x + 2)$

Step 3.1.4.2.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$(x^{5} - 15 x^{4} + 75 x^{1 + 2} - 125 \cdot x^{2}) (x + 2)$

Step 3.1.4.2.3

Add $1$ and $2$ .

$(x^{5} - 15 x^{4} + 75 x^{3} - 125 \cdot x^{2}) (x + 2)$

$(x^{5} - 15 x^{4} + 75 x^{3} - 125 x^{2}) (x + 2)$

Step 3.1.5

Expand $(x^{5} - 15 x^{4} + 75 x^{3} - 125 x^{2}) (x + 2)$ by multiplying each term in the first expression by each term in the second expression.

$x^{5} x + x^{5} \cdot 2 - 15 x^{4} x - 15 x^{4} \cdot 2 + 75 x^{3} x + 75 x^{3} \cdot 2 - 125 x^{2} x - 125 x^{2} \cdot 2$

Step 3.1.6

Simplify terms.

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Step 3.1.6.1

Simplify each term.

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Step 3.1.6.1.1

Multiply $x^{5}$ by $x$ by adding the exponents.

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Step 3.1.6.1.1.1

Multiply $x^{5}$ by $x$ .

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Step 3.1.6.1.1.1.1

Raise $x$ to the power of $1$ .

$x^{5} x^{1} + x^{5} \cdot 2 - 15 x^{4} x - 15 x^{4} \cdot 2 + 75 x^{3} x + 75 x^{3} \cdot 2 - 125 x^{2} x - 125 x^{2} \cdot 2$

Step 3.1.6.1.1.1.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$x^{5 + 1} + x^{5} \cdot 2 - 15 x^{4} x - 15 x^{4} \cdot 2 + 75 x^{3} x + 75 x^{3} \cdot 2 - 125 x^{2} x - 125 x^{2} \cdot 2$

Step 3.1.6.1.1.2

Add $5$ and $1$ .

$x^{6} + x^{5} \cdot 2 - 15 x^{4} x - 15 x^{4} \cdot 2 + 75 x^{3} x + 75 x^{3} \cdot 2 - 125 x^{2} x - 125 x^{2} \cdot 2$

Step 3.1.6.1.2

Move $2$ to the left of $x^{5}$ .

$x^{6} + 2 \cdot x^{5} - 15 x^{4} x - 15 x^{4} \cdot 2 + 75 x^{3} x + 75 x^{3} \cdot 2 - 125 x^{2} x - 125 x^{2} \cdot 2$

Step 3.1.6.1.3

Multiply $x^{4}$ by $x$ by adding the exponents.

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Step 3.1.6.1.3.1

Move $x$ .

$x^{6} + 2 x^{5} - 15 (x \cdot x^{4}) - 15 x^{4} \cdot 2 + 75 x^{3} x + 75 x^{3} \cdot 2 - 125 x^{2} x - 125 x^{2} \cdot 2$

Step 3.1.6.1.3.2

Multiply $x$ by $x^{4}$ .

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Step 3.1.6.1.3.2.1

Raise $x$ to the power of $1$ .

$x^{6} + 2 x^{5} - 15 (x^{1} x^{4}) - 15 x^{4} \cdot 2 + 75 x^{3} x + 75 x^{3} \cdot 2 - 125 x^{2} x - 125 x^{2} \cdot 2$

Step 3.1.6.1.3.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$x^{6} + 2 x^{5} - 15 x^{1 + 4} - 15 x^{4} \cdot 2 + 75 x^{3} x + 75 x^{3} \cdot 2 - 125 x^{2} x - 125 x^{2} \cdot 2$

Step 3.1.6.1.3.3

Add $1$ and $4$ .

$x^{6} + 2 x^{5} - 15 x^{5} - 15 x^{4} \cdot 2 + 75 x^{3} x + 75 x^{3} \cdot 2 - 125 x^{2} x - 125 x^{2} \cdot 2$

Step 3.1.6.1.4

Multiply $2$ by $- 15$ .

$x^{6} + 2 x^{5} - 15 x^{5} - 30 x^{4} + 75 x^{3} x + 75 x^{3} \cdot 2 - 125 x^{2} x - 125 x^{2} \cdot 2$

Step 3.1.6.1.5

Multiply $x^{3}$ by $x$ by adding the exponents.

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Step 3.1.6.1.5.1

Move $x$ .

$x^{6} + 2 x^{5} - 15 x^{5} - 30 x^{4} + 75 (x \cdot x^{3}) + 75 x^{3} \cdot 2 - 125 x^{2} x - 125 x^{2} \cdot 2$

Step 3.1.6.1.5.2

Multiply $x$ by $x^{3}$ .

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Step 3.1.6.1.5.2.1

Raise $x$ to the power of $1$ .

$x^{6} + 2 x^{5} - 15 x^{5} - 30 x^{4} + 75 (x^{1} x^{3}) + 75 x^{3} \cdot 2 - 125 x^{2} x - 125 x^{2} \cdot 2$

Step 3.1.6.1.5.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$x^{6} + 2 x^{5} - 15 x^{5} - 30 x^{4} + 75 x^{1 + 3} + 75 x^{3} \cdot 2 - 125 x^{2} x - 125 x^{2} \cdot 2$

Step 3.1.6.1.5.3

Add $1$ and $3$ .

$x^{6} + 2 x^{5} - 15 x^{5} - 30 x^{4} + 75 x^{4} + 75 x^{3} \cdot 2 - 125 x^{2} x - 125 x^{2} \cdot 2$

Step 3.1.6.1.6

Multiply $2$ by $75$ .

$x^{6} + 2 x^{5} - 15 x^{5} - 30 x^{4} + 75 x^{4} + 150 x^{3} - 125 x^{2} x - 125 x^{2} \cdot 2$

Step 3.1.6.1.7

Multiply $x^{2}$ by $x$ by adding the exponents.

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Step 3.1.6.1.7.1

Move $x$ .

$x^{6} + 2 x^{5} - 15 x^{5} - 30 x^{4} + 75 x^{4} + 150 x^{3} - 125 (x \cdot x^{2}) - 125 x^{2} \cdot 2$

Step 3.1.6.1.7.2

Multiply $x$ by $x^{2}$ .

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Step 3.1.6.1.7.2.1

Raise $x$ to the power of $1$ .

$x^{6} + 2 x^{5} - 15 x^{5} - 30 x^{4} + 75 x^{4} + 150 x^{3} - 125 (x^{1} x^{2}) - 125 x^{2} \cdot 2$

Step 3.1.6.1.7.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$x^{6} + 2 x^{5} - 15 x^{5} - 30 x^{4} + 75 x^{4} + 150 x^{3} - 125 x^{1 + 2} - 125 x^{2} \cdot 2$

Step 3.1.6.1.7.3

Add $1$ and $2$ .

$x^{6} + 2 x^{5} - 15 x^{5} - 30 x^{4} + 75 x^{4} + 150 x^{3} - 125 x^{3} - 125 x^{2} \cdot 2$

Step 3.1.6.1.8

Multiply $2$ by $- 125$ .

$x^{6} + 2 x^{5} - 15 x^{5} - 30 x^{4} + 75 x^{4} + 150 x^{3} - 125 x^{3} - 250 x^{2}$

Step 3.1.6.2

Simplify by adding terms.

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Step 3.1.6.2.1

Subtract $15 x^{5}$ from $2 x^{5}$ .

$x^{6} - 13 x^{5} - 30 x^{4} + 75 x^{4} + 150 x^{3} - 125 x^{3} - 250 x^{2}$

Step 3.1.6.2.2

Add $- 30 x^{4}$ and $75 x^{4}$ .

$x^{6} - 13 x^{5} + 45 x^{4} + 150 x^{3} - 125 x^{3} - 250 x^{2}$

Step 3.1.6.2.3

Subtract $125 x^{3}$ from $150 x^{3}$ .

$x^{6} - 13 x^{5} + 45 x^{4} + 25 x^{3} - 250 x^{2}$

Step 3.2

The leading term in a polynomial is the term with the highest degree.

$x^{6}$

Step 3.3

The leading coefficient in a polynomial is the coefficient of the leading term.

$1$

Step 4

Since the leading coefficient is positive, the graph rises to the right.

Positive

Step 5

Use the degree of the function, as well as the sign of the leading coefficient to determine the behavior.

1. Even and Positive: Rises to the left and rises to the right.

2. Even and Negative: Falls to the left and falls to the right.

3. Odd and Positive: Falls to the left and rises to the right.

4. Odd and Negative: Rises to the left and falls to the right

Step 6

Determine the behavior.

Rises to the left and rises to the right

Step 7