Question

Which shows one way to determine the factors of x^3+5x^2-6x-30 by grouping?

Answer 1

$\left(x^{2}-6\right)(x+5)$ are the factors of the expression by grouping

Step-by-step explanation:

$x^{3}+5 x^{2}-6 x-30$

We have to group the terms as,

$\left(x^{3}+5 x^{2}\right)-(6 x-30)$

We can take the common factors as,

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

So it can be written as,

= $\left(x^{2}-6\right)(x+5)$

So it was factorized by grouping.