Question

Factorize : $x^2+6x+8$

• A. 0
• B. (x+3)(x-4)
• C. (x-4)(x+2)
• D. (x+3)(x+4)

Answer 1

The correct option is A

0

We have to break up $6x$ in the given expression into two parts in such a way that their sum is $6x$ and the product of their coefficients is $8$.
$x^2+6x+8$
$=x^2+4x+2x+8$
$=x(x+4)+2(x+4)$
$=(x+4)(x+2)$

Thus, we can see that $(x+4)$ and $(x+2)$ are the two factors of $x^2+6x+8$