Question

factorise p(x)=x³+3x²-10x-24​

Answer 1

Answer:

p(x)=x³+3x²-10x-24

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

Answer 2

Solution :

$p(x) = x^3 + 3x^2 - 10x - 24 \\ = x^3 + x^2 - 12x + 2x^2 + 2x - 24 \\= x(x^2 - x + 12) + 2(x^2 - x + 12) \\= (x+2)(x^2 + 4x - 3x + 12) \\= (x+2)( x(x+4) - 3(x+4) ) \\= (x+2)(x-3)(x+4)$