Question

x2 + 5x + 6 by x + 2
using factor method

Answer 1

If we factorise the given term using the middle term factorization method, then we get : (x+2)(x+3)

then according to  the problem, we can write that:

= ({x+2)(x+3)}/(x+2)

both the x+2 cancel each other, so we get:

= x+3

Therefore, we can say that (x^2) + 5x + 6, when divided by (x+2), gives you (x+3)

I hope it helps :)

Answer 2

ⓢⓞⓛⓤⓣⓘⓞⓝ

Factorization of x²+5x+6

x²+5x+6

=x²+3x+2x+6

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

=(x+2)(x+3)

it is a type of middle term factorization.

in middle term factorization we two numbers whose sum is the middle term and whose product is the product of first term and last term.

like here middle term is 5x and product of the first and last term is 6

so we split the middle term in 2x and 3x because there sum is 5 and product is 6

now x²+5x+6/x+2

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

=x+3

so the final answer=x+3