which shows one way to determine the factors of $x^{3}+11x^{2}-3x - 33$ by grouping?\n$x^{2}(x + 11)+3(x…

which shows one way to determine the factors of $x^{3}+11x^{2}-3x - 33$ by grouping?\n$x^{2}(x + 11)+3(x - 11)$\n$x^{2}(x - 11)-3(x - 11)$\n$x^{2}(x + 11)+3(x + 11)$\n$x^{2}(x + 11)-3(x + 11)$

which shows one way to determine the factors of $x^{3}+11x^{2}-3x - 33$ by grouping?\n$x^{2}(x + 11)+3(x - 11)$\n$x^{2}(x - 11)-3(x - 11)$\n$x^{2}(x + 11)+3(x + 11)$\n$x^{2}(x + 11)-3(x + 11)$

Answer

Explanation:

Step1: Group the terms

Group the polynomial (x^{3}+11x^{2}-3x - 33) into two - groups: ((x^{3}+11x^{2})+(-3x - 33)).

Step2: Factor out the greatest common factor from each group

From the first group (x^{3}+11x^{2}), the GCF is (x^{2}), so (x^{3}+11x^{2}=x^{2}(x + 11)). From the second group (-3x-33), the GCF is (-3), so (-3x - 33=-3(x + 11)).

Step3: Rewrite the polynomial

The polynomial becomes (x^{2}(x + 11)-3(x + 11)).

Answer:

D. (x^{2}(x + 11)-3(x + 11))