Question

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 .

Answer 1

the x-intercepts are (-1,0) and (-11,0), the y-intercept is (0,11).

Answer 2

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