Which of the following is a polynomial with roots - square root of 5, square root of 5, and -3 ? x3 - 2x2 - 3x + 6, x3 + 2x2 - 3x - 6, x3 - 3x2 - 5x + 15, or x3 + 3x2 - 5x - 15?

Option D is correct.

Polynomial for the given zeroes are;

Step-by-step explanation:

Given the roots of the polynomial function as:

, and -3.

A root of a polynomial function is a number that, when plugged in for the variable, makes the function equal to 0.

First find the factors, we subtract the roots

so factors are:

and

Now, to find the general polynomial f(x) we multiply these factors as:

Using

we have;

or

using distributive property:

Therefore, the following polynomial is,

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