JaylanieP375817 JaylanieP375817
  • 03-11-2022
  • Mathematics
contestada

what represents the factorization of the trinomial below?[tex] {x}^{2} - x - 20[/tex]

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CharliseD377660 CharliseD377660
  • 03-11-2022

The expression given is,

[tex]x^2-x-20[/tex]

Factorize the expression above

[tex]\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}[/tex]

Hence, the answer is

[tex]\left(x+4\right)\left(x-5\right)[/tex]

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