Find the Degree 4x^2+3x^9-6x^3+5x-8

$4 x^{2} + 3 x^{9} - 6 x^{3} + 5 x - 8$

Step 1

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

$4 x^{2} \to 2$

$3 x^{9} \to 9$

$- 6 x^{3} \to 3$

$5 x \to 1$

$- 8 \to 0$

Step 2

The largest exponent is the degree of the polynomial.

$9$