Question

Consider the quadratic expression given below.

Answer 1

Answer:

The factor form of the given expression is 3(x-12)(x+2).

Step-by-step explanation:

The given expression is

$3x^2-30x-72$

$3(x^2-10x-24)$

The middle term can be written as -12x+2x.

$3(x^2-12x+2x-24)$

$3[x(x-12)+2(x-12)]$

$3(x-12)(x+2)$

Therefore the factor form of the given expression is 3(x-12)(x+2).

Answer 2

$3 x^{2} -30x-72=3( x^{2} -10x-24)$

Using cross multiplication method,

x                         -12       -12x

x                             2          2x  

$x^{2}$                        -24        -10x

Therefore, 
$3 x^{2} -30x-72=3( x^{2} -10x-24)$
                               =3(x-12)(x+2)