Question

Find the zeros of the function f(x) = 3x3 - 12x2 - 15x.

Answer 1

The zeros of the function f(x) = 3x3 - 12x2 - 15x are x = 0, 5, −1. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

Answer 2

Answer:

zeros of the function are x=-1,0,5

Step-by-step explanation:

$f(x) = 3x^3 - 12x^2 -15x$

To find out zeros of the function we replace f(x) with 0

$0= 3x^3 - 12x^2 -15x$

GCF is 3x, so we factor out 3x in common

$0= 3x(x^2 - 4x -5)$

Now we factor x^2-4x-5

Product is -5 and sum is -4

-5 times 1 is -5

-5 +1 is -4

So two factors are -5 and 1

$0= 3x(x^2 - 4x -5)$

$0= 3x(x-5)(x+1)$

WE set each factor =0 and solve for x

$3x=0, x=0$

$(x-5)=0, x=5$

$x+1=0, x=-1$

So zeros of the function are x=-1,0,5