which shows one way to determine the factors of $x^{3}+5x^{2}-6x - 30$ by grouping?\n$x(x^{2}-5)+6(x^{2}-5)$\…

which shows one way to determine the factors of $x^{3}+5x^{2}-6x - 30$ by grouping?\n$x(x^{2}-5)+6(x^{2}-5)$\n$x(x^{2}+5)-6(x^{2}+5)$\n$x^{2}(x - 5)+6(x - 5)$\n$x^{2}(x + 5)-6(x + 5)$

which shows one way to determine the factors of $x^{3}+5x^{2}-6x - 30$ by grouping?\n$x(x^{2}-5)+6(x^{2}-5)$\n$x(x^{2}+5)-6(x^{2}+5)$\n$x^{2}(x - 5)+6(x - 5)$\n$x^{2}(x + 5)-6(x + 5)$

Answer

Explanation:

Step1: Group the terms

Group the polynomial $x^{3}+5x^{2}-6x - 30$ as $(x^{3}+5x^{2})+(-6x - 30)$.

Step2: Factor out the greatest - common factor from each group

From the first group $x^{3}+5x^{2}$, the GCF is $x^{2}$, so $x^{3}+5x^{2}=x^{2}(x + 5)$. From the second group $-6x-30$, the GCF is $-6$, so $-6x - 30=-6(x + 5)$.

Step3: Combine the factored forms

The factored form of the polynomial by grouping is $x^{2}(x + 5)-6(x + 5)$.

Answer:

$x^{2}(x + 5)-6(x + 5)$