Find the answer, then break it back down into 3 binomials EX:

Answer choice:

A.(x+1)^2(x+2)(x+3)

Find the answer, then break it back down into 3 binomials EX:

Answer choice:

A.(x+1)^2(x+2)(x+3)

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(x^{2} + 4x + 3)x^{2} + (x^{2} + 4x + 3)3x + 2(x^{2} + 4x + 3)

==> * x*^{2}**(x**^{2}** + 4x + 3)**
*+ 3x***(x**^{2}** + 4x + 3)**
*+ 2***(x**^{2}** + 4x + 3)**

Notice that all terms here share a common factor, that being x^{2} + 4x + 3 . So if we factor out this trinomial from each term, we are left with the following:

**(x**^{2}** + 4x + 3)***(x*^{2}* + 3x + 2)*

Next, factor each trinomial:

**(x + 1)(x + 3)***(x + 1)(x + 2)*

**(x + 1)(x + 1)**(x + 2)(x + 3)

**(x + 1)**^{1+1}(x + 2)(x + 3)

(x + 1)^{2}(x + 2)(x + 3)