Question

How do you factor `4x ^ { 5} + 6x ^ { 4} - 10x ^ { 3}`?

Answer 1

See a solution process below:

Explanation:

First, factor a `color(red)(2x^3)` from each term giving:

`(color(red)(2x^3) * 2x^2) + (color(red)(2x^3) * 3x) - (color(red)(2x^3) * 5) =>`

`color(red)(2x^3)(2x^2 + 3x - 5)`

Now, fractor the remain quadratic as:

`2x^3(2x + 5)(x - 1)`