Answer:
The coordinates of the x-intercepts are;
(-1, 0) and (-11, 0)
The coordinate of the y-intercept is;
(0, 11)
Explanation:
The given function is f(x) = x² + 12·x + 11
The x-intercept is at f(x) = 0 which gives;
0 = x² + 12·x + 11 which has been factored as (x + 1)(x+11) such that we have;
(x + 1)(x+11) = 0
x = -1, or x = -11
The y-intercept occurs at x = 0, we therefore have;
f(0) = (0)² + 12·(0) + 11 = 11
Therefore, we have f(0) = 11 = Y
Given that at the x-intercept, y = 0, then the coordinates of the x-intercepts are;
(-1, 0) and (-11, 0)
Given that at the y-intercept, x = 0, then the coordinate of the y-intercept is;
(0, 11).