Question

which point is an x-intercept of the quadratic function f(x) = (x - 8)(x + 9)?
(0,8)
(0,−8)
(9,0)
(−9,0)

Explanation:

Step1: Set $f(x)=0$

$0=(x-8)(x+9)$

Step2: Solve for $x$

Using zero-product property:
$x-8=0 \implies x=8$
$x+9=0 \implies x=-9$

Step3: Identify x-intercepts

x-intercepts are points $(8,0)$ and $(-9,0)$.

Answer:

D. $(-9,0)$