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
