Question

Find the x-intercept(s), if any exist, of the parabola defined by the function below.
f(x) = (4x + 12)(x + 4)

A. (48,0)
B. no x-intercept(s)
C. (-3,0) and (-4,0)
D. (3,0) and (4,0)

Answer 1

(-3,0) and (-4,0)

Answer 2

just multiply them
f(x) = (4x+12)(x+4)
= 4x^2 + 16x +12x +48
= 4x^2 +28x +48
= 4 ( x^2 + 7x +12)
4(x^2+7x+12)=0
x^2+7x+12=0

now apply the factorizing method
x^2 +3x+4x+12=0
x(x+3) +4(x+3)=0
(x+4)(x+3)=0
either
x+4=0 and x+3=0
x=-4 and x=-3
as u know that on x intercept we take y=0
so the points are
(-3,0) and (-4,0)
this is the correct answer

Answer 3

i hope u would get it

Answer 4

@rosebird Read it

Answer 5

yeah

Answer 6

@Haseeb96