Which of the following is a polynomial with roots: −square root of 3, square root of 3, and −2?

a) x3 − 2x2 − 3x + 6
b) x3 − 3x2 − 5x + 15
c) x3 + 2x2 − 3x − 6
d) x3 + 3x2 − 5x − 15

The answer is: C)

Factoring we have:

So,

Let's substitute the roots into the equation,

Substituting: -2

Substituting:

Substituting:

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step-by-step explanation: