Finite Math Examples

$- 3 x^{4} + 9 x^{2} - 4 x - 4 + (5 x^{2} + 7 x - 6)$

Step 1

Simplify and reorder the polynomial.

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Step 1.1

Add $9 x^{2}$ and $5 x^{2}$ .

$- 3 x^{4} + 14 x^{2} - 4 x - 4 + 7 x - 6$

Step 1.2

Add $- 4 x$ and $7 x$ .

$- 3 x^{4} + 14 x^{2} + 3 x - 4 - 6$

Step 1.3

Subtract $6$ from $- 4$ .

$- 3 x^{4} + 14 x^{2} + 3 x - 10$

Step 2

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

$- 3 x^{4} \to 4$

$14 x^{2} \to 2$

$3 x \to 1$

$- 10 \to 0$

Step 3

The largest exponent is the degree of the polynomial.

$4$