kuhse4461a

2021-12-10

Factor $2{x}^{2}+x-1$

SlabydouluS62

$2{x}^{2}+x-1$
Multiply the coefficient of the first term by the constant
$2×\left(-1\right)=-2$
Rewrite, splitting the middle term x into 2x and -x
$2{x}^{2}+2x-x=1$
Factor out the common terms
$2x\left(x+1\right)-\left(x+1\right)right⇒-\left(x+1\right)=-1\left(x+1\right)$
$\left(x+1\right)\left(2x-1\right)$

Daniel Cormack

$2{x}^{2}+x-1$
Break the expression into groups
$=\left(2{x}^{2}-x\right)+\left(2x-1\right)$
Factor out x
$=x\left(2x-1\right)+\left(2x-1\right)$
Factor out common trm 2x-1
$=\left(2x-1\right)\left(x+1\right)$

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