In the polynomial below, what number should replace the question mark to produce a difference of squares?x2 + ?x - 25A.5B.0C.25D.10

Question

$x^2 + ?x - 25$

A. 5
B. 0
C. 25
D. 10

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In order to produce a difference of squares, the polynomial should be in the form of a^2 - b^2, which can be factored into (a-b)(a+b).

The given polynomial is x^2 - 25, which is already in the form of a^2 - b^2, where a=x and b=5.

The middle term in a perfect square trinomial is 2ab. But here, we want to produce a difference of squares, which means we don't want a middle term.

Therefore, the number that should replace the question mark to produce a difference of squares is 0.

So, the answer is B.0.

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