X^3 + 2x^2 – 24x

^
write the polynomial in factored form

x(x+6)(x-4)

Step-by-step explanation:

They all have x in it, which means we can factor out x first.

x(x^2 + 2x -24)

Now we can factor out the inside doing algebra.

Since 6 multiplied by -4 gives us -24 and adding them gives us 2, 6 and -4 works. This means that we can factor out (x+6) and (x-4).

We still have to multiply the x from the beginning, giving us a final equation of

x(x+6)(x-4).