# How do you factor completely: #10x^5 + 4x^4 + 8x^3#?

##### 1 Answer

#### Explanation:

First we take out the obvious common factor of

That's pretty good. If we can factor the quadratic equation we can make more progress. To check if we can, we can check if the discriminant

Depending on what grade we're in, we either stop here or factor using complex numbers. I'll continue.

Pro tip: The **Shakespeare Quadratic Formula** (

By the Shakespeare Quadratic Formula the quadratic has zeros

so we can factor

and the entire expression