which point is an x - intercept of the quadratic function f(x)=(x + 6)(x - 3)?\n(0,6)\n(0, - 6)\n(6,0)\n(…
which point is an x - intercept of the quadratic function f(x)=(x + 6)(x - 3)?\n(0,6)\n(0, - 6)\n(6,0)\n( - 6,0)
Answer
Explanation:
Step1: Recall x - intercept definition
At x - intercept, $y = f(x)=0$.
Step2: Set the function equal to 0
$(x + 6)(x - 3)=0$.
Step3: Use zero - product property
If $ab = 0$, then $a = 0$ or $b = 0$. So $x+6=0$ gives $x=-6$ and $x - 3=0$ gives $x = 3$.
Step4: Write x - intercept points
The x - intercepts are of the form $(x,0)$. So the x - intercepts are $(-6,0)$ and $(3,0)$.
Answer:
D. $(-6,0)$