Question

which point is an x - intercept of the quadratic function $f(x)=(x + 6)(x - 3)$?
○ $(0,6)$
○ $(0, - 6)$
○ $(6,0)$
○ $(-6,0)$

Explanation:

Step1: Set $f(x)=0$ for x-intercepts

$0=(x+6)(x-3)$

Step2: Solve for x via zero product rule

$x+6=0 \text{ or } x-3=0$
$x=-6 \text{ or } x=3$

Step3: Match to coordinate pairs

x-intercepts are $(-6,0)$ and $(3,0)$; $(-6,0)$ is an option.

Answer:

D. (-6,0)