Factorize:
$x^{2} \ +\ 5x\ −\ 6$


Given: $x^{2} \ +\ 5x\ −\ 6$

To do: Here we have to factorize $x^{2} \ +\ 5x\ −\ 6$.

Solution:

You need to find two digits that both add to $+$5 and multiply to $-$6. 2 and 3 are possibilities, but ultimately do not work.

∴ We'll go with -1 and +6.

$x^{2} \ +\ 5x\ −\ 6$

$=\ (x\ -\ 1)(x\ +\ 6)$

So, factorization of $x^{2} \ +\ 5x\ −\ 6$ is $(x\ -\ 1)(x\ +\ 6)$.

Updated on: 10-Oct-2022

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