Question

Which point is an x-intercept of the quadratic function f(x) = (x + 6)(x – 3)?

(0,6)
(0,–6)
(6,0)
(–6,0)

Answer 1

To find the x-intercepts of the quadratic function \( f(x) = (x + 6)(x - 3) \), we need to set \( f(x) = 0 \) and solve for \( x \):

\[
(x + 6)(x - 3) = 0
\]

This equation is satisfied when either factor is equal to zero:

1. \( x + 6 = 0 \) → \( x = -6 \)
2. \( x - 3 = 0 \) → \( x = 3 \)

Thus, the x-intercepts are at the points \((-6, 0)\) and \((3, 0)\).

Among the provided options, the point that is an x-intercept is:

\[
\boxed{(-6, 0)}
\]