# Find the factor of polynomial P(x) = x^2+x-2

Find the factor of polynomial
$P\left(x\right)={x}^{2}+x-2$
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Step 1
Given
$P\left(x\right)={x}^{2}+x-2$
The given equation looks like quadratic polynomial equation.
${x}^{2}+x-2=0$
${x}^{2}+2x-1x-2=0$ (1x = 2x-1x)
$x\left(x+2\right)-1\left(x+2\right)=0$ (take "x" common from first two terms and "-1" common from last two terms)
$\left(x+2\right)\left(x-1\right)=0$ (take "x+2" common)
Step 2
factors of given polynomial ${x}^{2}+x-2=0$
${x}^{2}+x-2=\left(x+2\right)\left(x-1\right)$
And x=-2 or x = 1.

Jeffrey Jordon