Question

Factorise the trinomial $2x^2+7x+6$.

• A. (2x + 3) (x - 2)
• B. (2x + 3 ) (x + 2)
• C. (2x -1 )(x + 2)
• D. (2x - 1)(x - 2)

Answer 1

The correct option is B (2x + 3 ) (x + 2)

Given trinomial = $2x^2+7x+6$
The product of the first and the last term = $2x^2\times 6$= $12x^2$.
Splitting the middle term 7x into two terms such a way that their product is $12x^2$ and sum is 7x. The terms are 3x and 4x.
$2x^2+7x+6$ = $2x^2+4x+3x+6$
=$2x(x+2)+3(x+2)$= $(x+2)(2x+3)$