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Question Factor s2−15s^2 - 15 completely. Choose: A. s2−15=(s+15)(s−15)s^2 - 15 = (s + \sqrt{15})(s - \sqrt{15}) or B. The polynomial is not prime.

Studdy Solution

STEP 1

Assumptions1. We are asked to factor the polynomial s−15s^{}-15 completely. . The polynomial is in the form of a difference of squares.

STEP 2

The difference of squares is a special case in algebra where a^2 - b^2 can be factored into (a - b)(a + b). We can apply this rule to factor the given polynomial.
s2−15=(s−15)(s+15)s^{2}-15 = (s-\sqrt{15})(s+\sqrt{15})

STEP 3

So, the factored form of the polynomial s2−15s^{2}-15 is (s−15)(s+15)(s-\sqrt{15})(s+\sqrt{15}).
Therefore, the correct choice is not listed in the provided options. The polynomial is not prime and s2−15=0s^{2}-15=0 is not the factored form of the polynomial.

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