Algebra Examples

$3 x (x + 5) - 7$

Step 1

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$a x^{2} + b x + c$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$3 x \cdot x + 3 x \cdot 5 - 7$

Step 2.2

Multiply $x$ by $x$ by adding the exponents.

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Step 2.2.1

Move $x$ .

$3 (x \cdot x) + 3 x \cdot 5 - 7$

Step 2.2.2

Multiply $x$ by $x$ .

$3 x^{2} + 3 x \cdot 5 - 7$

Step 2.3

Multiply $5$ by $3$ .

$3 x^{2} + 15 x - 7$