Factorize the following
$x^{2} + 9 x + 14$

Open in App

Solution

$x^{2} + 9 x + 14$

To factorize we have to find $p$ and $q$ , such that $p q = 14$ and $p + q = 9$ .

$x^{2} + 9 x + 14 = x^{2} + 2 x + 7 x + 14$

$= x (x + 2) + 7 (x + 2)$

$= (x + 2) (x + 7)$

$∴ x^{2} + 9 x + 14 = (x + 7) (x + 2)$

Suggest Corrections

Similar questions

x^{2} - 9 x + 14

x^{2} - 9 x + 14

Factorize $x^{2} + 9 x + 14$ . [1 MARK]

x^{2} + 9 x - 22

x^{2} - 9 x + 20

Join BYJU'S Learning Program