Question

divide as directed (3x³-6x²-24x)÷(x-4)(x+2)​

Answer 1

Answer:

3x3−6x2−24x)÷(x−4)(x+2)

3x3−6x2−24x=3x(x2−2x−8)

=3x{x2−4x+2x−8}

=3x{x(x−4)+2(x−4)}

=3x(x−4)(x+2)

Now,

(x−4)(x+2)3x3−6x2−24x

=(x−4)(x+2)3x(x−4)(x+2)

=3x