Question

Factorize x^2 + 8x + 15.

Answer 1

This question requires Splitting the Middle term.
x² + 8x + 15
= x² + 5x + 3x + 15
= x( x + 5 ) + 3( x + 5 )
= ( x + 3 )( x + 5 )

Hope it helped!

Answer 2

To factorize : $x^{2} + 8x + 15$

Solution :

• According to question we are asked to split the given expression by splitting the middle term.
• We spilt the middle term such that product of the numbers is last term and sum or difference of those numbers is middle term.
• Here, $8x$ is the middle term and $15$  is the last term.
• $x^{2} + 8x + 15$

       $= x^{2} + 5x + 3x + 15 \\= x ( x + 5 ) + 3 ( x + 5 ) \\= ( x + 5 ) ( x + 3 )$  

• Therefore ,  $x = -5$ or $x = -3$ .

Hence, on splitting the middle term of $x^{2} + 8x + 15$ we get value of $x$ as $x = -5$ or $x = -3$ .