Find the Degree f(x)=(x-1)(x+1)^11

$f (x) = (x - 1) {(x + 1)}^{11}$

Step 1

Simplify and reorder the polynomial.

Apply the distributive property.

$x {(x + 1)}^{11} - 1 {(x + 1)}^{11}$

Rewrite $- 1 {(x + 1)}^{11}$ as $- {(x + 1)}^{11}$ .

$x {(x + 1)}^{11} - {(x + 1)}^{11}$

Step 2

The largest exponent is the degree of the polynomial.

$12$