Question

How do you factor `3x^3 - 18x^2 + 24x`?

Answer 1

`3x^3-18x^2+24x=3x(x-4)(x-2)`

Explanation:

Note that all of the terms are divisible by `3x`, so we can separate that out.

`3x^3-18x^2+24x=3x(x^2-6x+8)`

Note that `6=4+2` and `8=4*2`, so:

`x^2-6x+8=(x-4)(x-2)`

Putting it together:

`3x^3-18x^2+24x=3x(x-4)(x-2)`