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Which of the binomials below is a factor of this trinomial?4x2 + 12x + 9A.2x + 1B.2x - 3C.2x + 3D.2x - 1

Question

Which of the binomials below is a factor of this trinomial?4x2 + 12x + 9A.2x + 1B.2x - 3C.2x + 3D.2x - 1

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Solution

To find out which binomial is a factor of the given trinomial, we need to factorize the trinomial.

The trinomial given is 4x^2 + 12x + 9.

This is a perfect square trinomial, which can be factored as follows:

4x^2 + 12x + 9 = (2x)^2 + 22x3 + (3)^2 = (2x + 3)^2

So, the binomial that is a factor of the trinomial 4x^2 + 12x + 9 is 2x + 3.

Therefore, the correct answer is C. 2x + 3.

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