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 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

Answer 2

Answer:

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