Find the Degree -5x^5+7x^4-6x^3+4x^2+6

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

Step 1

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

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

$7 x^{4} \to 4$

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

$4 x^{2} \to 2$

$6 \to 0$

Step 2

The largest exponent is the degree of the polynomial.

$5$