Answer:
x=0 x=3 x=-2
Step-by-step explanation:
p(x)= 3x^3 – 3x^2– 18x
Factor out the greatest common factor, 3x
p(x)= 3x (x^2 – x– 6)
Factor inside the parentheses
What 2 numbers multiplies to -6 and adds to -1
-3*2 = -6
-3+2 = -1
p(x)= 3x (x-3)(x+2)
Setting the function equal to zero to find the zeros
0 = 3x (x-3)(x+2)
Using the zero product property
3x = 0 x-3 =0 x+2 =0
x=0 x=3 x=-2
Answer:
x = -2, 0, 3.
Step-by-step explanation:
3x^3 – 3x^2– 18x = 0
First take out the GCF which is 3x:
3x(x^2 - x - 6) = 0
So one zero is 0 ( because 3x = 0).
x^2 - x - 6 = 0
(x - 3)(x + 2) = 0
x = -2, 3.
