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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step-by-step explanation:

both graphs increase on their domain

neither graph has a y-intercept

step-by-step explanation:

the following points can be visualized easily from the graph