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)
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
The x - intercepts occur when (y = f(x)=0). So we set ((x + 6)(x - 3)=0).
Step2: Apply zero - product property
If (ab = 0), then (a = 0) or (b = 0). Here, if ((x + 6)(x - 3)=0), then (x+6 = 0) or (x - 3=0).
Step3: Solve for x
For (x+6 = 0), we get (x=-6) by subtracting 6 from both sides. For (x - 3=0), we get (x = 3) by adding 3 to both sides. The x - intercepts are of the form ((x,0)). So the x - intercepts are ((-6,0)) and ((3,0)).
Answer:
D. ((-6,0))