Question

How would I factor this: x^3 + 3x^2 – 10x – 24
If it's possible please add all the steps. I already know the answer I just don't know how to get it

Answer 1

division
synthetic

Answer 2

Thank you rvc

Answer 3

x^3 + 3x^2 – 10x – 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+4)(x-3)

Answer 4

Let f(x)=x^3+3x^2-10x-24
Therefore f(1)=1^3+3*1^2-10*1-24=-30
f(-1)=....
f(2)=......
f(-2)=0
now we'll stop here....because we have got 0
since f(-2)=0,therefore x+2 is a factor of f(x)
nw we'll divide f(x) by x+2......we'll get x^2+x-12
Therefore f(x)=(x+2)(x^2+x-12)=(x+2)(x-3)(x+4)