Question

How do you factor `10x ^ { 6} - 15x ^ { 5} - 10x ^ { 4}`?

Answer 1

See a solution process below:

Explanation:

First, factor an `5x^4` out of each term in the expression:

`10x^6 - 15x^5 - 10x^4 => (5x^4 * 2x^2) - (5x^4 * 3x) - (5x^ 4 * 2) =>`

`5x^4(2x^2 - 3x - 2)`

Now, factor the term in parenthesis as:

`5x^4(2x + 1)(x - 2)`