Find the Degree 9x^3+3x^8+6x^7+5x^6-7x^5

$9 x^{3} + 3 x^{8} + 6 x^{7} + 5 x^{6} - 7 x^{5}$

Step 1

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

$9 x^{3} \to 3$

$3 x^{8} \to 8$

$6 x^{7} \to 7$

$5 x^{6} \to 6$

$- 7 x^{5} \to 5$

Step 2

The largest exponent is the degree of the polynomial.

$8$