which shows one way to determine the factors of $x^{3}-12x^{2}-2x + 24$ by grouping?\n$x(x^{2}-12)+2(x^{2}-12…

which shows one way to determine the factors of $x^{3}-12x^{2}-2x + 24$ by grouping?\n$x(x^{2}-12)+2(x^{2}-12)$\n$x(x^{2}-12)-2(x^{2}-12)$\n$x^{2}(x - 12)+2(x - 12)$\n$x^{2}(x - 12)-2(x - 12)$

which shows one way to determine the factors of $x^{3}-12x^{2}-2x + 24$ by grouping?\n$x(x^{2}-12)+2(x^{2}-12)$\n$x(x^{2}-12)-2(x^{2}-12)$\n$x^{2}(x - 12)+2(x - 12)$\n$x^{2}(x - 12)-2(x - 12)$

Answer

Explanation:

Step1: Group the terms

Group the polynomial (x^{3}-12x^{2}-2x + 24) into two - groups: ((x^{3}-12x^{2})+(-2x + 24)).

Step2: Factor out the greatest common factor from each group

From the first group (x^{3}-12x^{2}), the greatest common factor is (x^{2}), so (x^{3}-12x^{2}=x^{2}(x - 12)). From the second group (-2x + 24), the greatest common factor is (-2), so (-2x + 24=-2(x - 12)).

Step3: Rewrite the polynomial

The polynomial ((x^{3}-12x^{2})+(-2x + 24)) can be rewritten as (x^{2}(x - 12)-2(x - 12)).

Answer:

(x^{2}(x - 12)-2(x - 12))