Question

x2+8x+15 pls factorize and tell

Answer 1

Solution :

→ x² + 8x + 15 = 0

By splitting middle term

→ x² + 5x + 3x + 15 = 0

→ x ( x + 5 ) + 3 ( x + 5 ) = 0

→ ( x + 3 ) ( x + 5 ) = 0

When x + 3 = 0

→ x = - 3

When x + 5 = 0

→ x = - 5

Answer 2

Answer:

On factorizing $x^{2} + 8x + 15$ we get factors as , $( x + 5 )( x +3 )$ and value of $x$ as $x = -5$ or $x = -3$ .

Step-by-step explanation:

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

Solution :

• According to question we are asked to factorize $x^{2} + 8x + 15$ .
• To factorize we split the middle term of the expression .  
• 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.

        $x^{2} + 8x +1 5 \\\\=x^{2} +5x + 3x +15\\\\= x( x + 5 ) +3( x + 5) \\\\ = (x + 5)( x +3 ) \\\\ x = -5 \ or \ x = -3$