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
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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