Algebra Examples

$f (x) = x^{4} - 4 x^{3} - 10 x^{2} + 20 x + 25$

Step 1

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

$x^{4} \to 4$

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

$- 10 x^{2} \to 2$

$20 x \to 1$

$25 \to 0$

Step 2

The largest exponent is the degree of the polynomial.

$4$