Question

Factor completely. x^2+5x+6

Answer 1

(x+3)(x+2)

Explanation:

We have given an expression.

x²+5x+6

We have to factorize given expression.

Split the middle term of above expression so that the sum of two term should be 5 and their product be 6.

x²+3x+2x+6

Making groups and taking common , we have

x(x+3)+2(x+3)

Taking x+3 as common, we have

(x+3)(x+2) which is the answer.

Answer 2

(x + 3)(x + 2) is the answer.

Explanation:

In the given expression x² + 5x + 6 we have to do the factors.

x² + 5x + 6

= x² + 3x + 2x + 6

= x(x + 3 ) +2( x + 3)

= (x + 3)(x + 2)

So (x + 3)(x + 2) is the answer.