what are the zeros of the polynomial function
f(x) = x^3-5x^2-6x

a. x= -2, x=0 and x=3
b. x=-1, x=0 and x=6
c. x=-3, x=0 and x=2
d. x=-6, x=0 and x=1

Option B

The zeros of the polynomial function are x = 0 , x = 6, x = -1

Solution:

Given function is:

To find: zeros of the polynomial function

To find the zeros of polynomial function, set the function equal to zero and then solve for x.

Taking "x" as common term, we get

Equating to zero,

So one of the zeros of polynomial is x = 0

Let us solve to find other zeros

Let us solve using quadratic formula,

Using the above formula,

Substituting the values of a, b, c in above formula,

Thus the zeros of the polynomial function are x = 0 , x = 6, x = -1

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