# How do you factor completely: #4x^3 - 8x^2 - 26x + 50#?

##### 1 Answer

Jul 23, 2015

#### Answer:

As written, it cannot be factored by the methods taught in pre-caculus level algebra classes. If the 26 was supposed to be 25, then factor by grouping.

#### Explanation:

**Answer 1**

If you can find the roots using the cubic formula (nost of us do not have that formula memorized), then you can factor.

**Answer 2**

If there is an eror in the question, and the intended question is:

How do you factor completely:

Then you can factor by grouping (and the difference of squares):

# = 4x^2 (x - 2)+(-25)(x-2)#

# = (4x^2-25) (x - 2)#

# = (2x+5)(2x-5)(x-2)#