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)
(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)