What represents the factorization of the trinomial below?{x}^(2) - x - 20

Question

What represents the factorization of the trinomial below?
`{x}^(2) - x - 20`

Answer 1

The expression given is,

`x^2-x-20`

Factorize the expression above

`\begin{gathered} Break\text{ the expressions into two groups} \\ \left(x^2+4x\right)+\left(-5x-20\right) \\ Factorize\text{ out the common terms} \\ =x\left(x+4\right)-5\left(x+4\right) \\ \mathrm{Factor\:out\:common\:term\:}x+4 \\ =\left(x+4\right)\left(x-5\right) \end{gathered}`

Hence, the answer is

`\left(x+4\right)\left(x-5\right)`