Question

Explain, in complete sentences, how you would factor 5x3 – 35x2 + 60x.

Provide the factors

Answer 1

First rule in factorixation is: factor a common factor.
Ask yourself, is there a factor in common here? From the numbers, 5, -35, 60: all are divisible by 5. The variables x^3, x^2 and x all have x in common. So first factor 5x out.

Answer 2

After you factor ot the 5x, you should have:
5x(x^2 -7x + 12)

Answer 3

The next step is to factor what's inside the parentheses.