Question

How do you factor `2x^3-14x^2-16x`?

Answer 1

`2x^3 - 14x^2 - 16x = 2x (x - 8)(x + 1)`

Explanation:

The common factor is `2x:`

`2x^3 - 14x^2 - 16x = 2x (x^2 - 7x - 8)`

Look for two numbers that add to -7 and multiply to -8: -8 and +1

`2x (x^2 - 7x - 8) = 2x (x - 8)(x + 1)`