Question

How do you factor the expression $x^2+2x-3$?

Answer 1

Factorize using the common factor method

The given expression is $x^2+2x-3$.

It can be factorized as follows,

$x^2+2x-3=x^2+3x-x-3$

$\Rightarrow x^2+2x-3=\left(x^2+3x\right)-\left(x+3\right)$

$\Rightarrow x^2+2x-3=x\left(x+3\right)-1\left(x+3\right)$

$\Rightarrow x^2+2x-3=\left(x+3\right)\left(x-1\right)$

Hence, the factors of $x^2+2x-3$ obtained by using the common factor method is $\left(x+3\right)\left(x-1\right)$.