Question

factorise x cube - 5x square -2x + 24​

Answer 1

Step-by-step explanation:

x³-5x²-2x+24

p(x) = x³-5x²-2x+24

p(-2) = (-2)³-5(-2)²-2(-2)+24; -8-20+4+24;-28+28;=0

Therefore x+2 is one of the factor of x³-5x²-2x+24.

If we divide x³-5x²-2x+24 by x+2 we get x²-7x+12.

If we factorise x²-7x+12 we get,

= x²-7x+12

=x²-4x-3x+12

= x(x-4)-3(x-4)

=(x-3)(x-4)

Therefore, the factors are (x+2),(x-3),(x-4).