Question

A function f(x) has x-intercepts of -3 and -5: What is the constant term in the function?

f(x) = x² + 8x +

Answer 1

15

Explanation:

Given that the x- intercepts are x = - 3 and x = - 5

Then the factors are (x + 3) and (x + 5)

f(x) is then the product of the factors, that is

f(x) = (x + 3)(x + 5) ← expand factors using FOIL

f(x) = x² + 8x + 15 ← constant term is 15