Question

factorize ..pls answer I'll increase the points....

Answer 1

x^3 - 3x^2 - 10x + 24

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

= x^3 - 2x^2 - x^2 + 2x - 12x + 24

= x^2 ( x - 2) - x(x - 2) - 12(x - 2)

= (x - 2)[ x^2 - x - 12]

= (x - 2) [ x^2 - 4x + 3x - 12]

= (x - 2)[ x(x - 4) + 3(x - 4)]

= (x - 2)(x + 3)(x - 4)

Answer 2

Given Equation is x^3 - 3x^2 - 10x + 24

= > x^3 - x^2 - 2x^2 - 12x + 2x + 24

= > x^3 - x^2 - 12x - 2x^2 + 2x + 24

= > x(x^2 - x - 12) - 2(x^2 - x - 12)

= > (x - 2)(x^2 - x - 12)

= > (x - 2)(x^2 + 3x - 4x - 12)

= > (x - 2)(x(x + 3) - 4(x + 3))

= > (x - 2)(x + 3)(x - 4).

Hope this helps!