Consider the function f (x) = x2 + 12x + 11. x-intercepts: 0 = x2 + 12x + 11 0 = (x + 1) (x + 11) y-intercept: f (0) = (0) 2 + 12 (0) + 11 What are the intercepts of the function? The x-intercepts are. The y-intercept is.

The first thing you should see is that you already have the factored polynomial.

Then we can respond more easily to the questions.

We have then:

x-intercepts:

0 = x2 + 12x + 11

0 = (x + 1) (x + 11)

From here, we conclude:

x = - 1

x = - 11

y-intercept:

f (0) = (0) 2 + 12 (0) + 11

From here we conclude:

y = 11

Answer:

The x-intercepts are

x = - 1

x = - 11

The y-intercept is

y = 11