# How do you factor #x^3-3x^2+x-55#?

##### 1 Answer

Oct 7, 2015

#### Explanation:

If

i.e.

A quick check reveals

so

Dividing

#{:(," | ", 1, -3,color(white)("X")1, -55), (+5," | ",,color(white)("X")5,10,color(white)("X")55),(,"---","---","---","---","----"),(,,color(red)(1),color(red)(2),color(red)(11),color(white)("X")color(green)(0)):}#

gives

Checking the discriminant of