Question

The expression $(2x^2-7x-15)$ is factorizable.

• A. True
• B. False

Answer 1

The correct option is A True

$\Rightarrow (2x^2-7x-15)$
Comparing the given expression with $a{x}^2+bx+c$ , we get,
$a=2,b=-7,c=-15$
$\Rightarrow b^2-4ac$
$=(-7{)}^2-4(2\left)\right(-15)$
$=49+120$
$=169$

169 is a perfect square, therefore the given expression is factorizable.

$(2x^2-7x-15)=(x-5)(2x+3)$