Algebra Examples

$4 x^{2} - 3 x + 14 - 5 x^{2} + 3 x - 7$

Step 1

Simplify and reorder the polynomial.

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Step 1.1

Combine the opposite terms in $4 x^{2} - 3 x + 14 - 5 x^{2} + 3 x - 7$ .

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Step 1.1.1

Add $- 3 x$ and $3 x$ .

$4 x^{2} + 14 - 5 x^{2} + 0 - 7$

Step 1.1.2

Add $4 x^{2} + 14 - 5 x^{2}$ and $0$ .

$4 x^{2} + 14 - 5 x^{2} - 7$

Step 1.2

Subtract $5 x^{2}$ from $4 x^{2}$ .

$- x^{2} + 14 - 7$

Step 1.3

Subtract $7$ from $14$ .

$- x^{2} + 7$

Step 2

Identify the exponents on the variables in each term, and add them together to find the degree of each term.

$- x^{2} \to 2$

$7 \to 0$

Step 3

The largest exponent is the degree of the polynomial.

$2$