Find the Degree 4x^8+5x^4-2x^3+x^2-1

$4 x^{8} + 5 x^{4} - 2 x^{3} + x^{2} - 1$

Step 1

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

$4 x^{8} \to 8$

$5 x^{4} \to 4$

$- 2 x^{3} \to 3$

$x^{2} \to 2$

$- 1 \to 0$

Step 2

The largest exponent is the degree of the polynomial.

$8$