What are the zeros of the polynomial function? f(x)=x4+2x3−16x2−2x+15 select each correct answer. −5 −1 0 1 3 5

ANSWER

The zeros are

EXPLANATION

We were given

We can use the rational root theorem to find the solutions to

According to this theorem, the possible rational zeros of the polynomial are

.

If , where , then is a zero of  

So we plug in the possible rational roots.

This means

is a zero.

is a zero.

is a zero.

Now we got three of the zeros. But this polynomial has four zeros because the highest degree is 4. So we proceed until we get the fourth zero.

is a zero.

You could have also decided to use long division after obtaining the first zero.

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step-by-step explanation: