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

User Mikel F
by
8.2k points

1 Answer

5 votes

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)

User Deepak Mishra
by
7.9k points