# How do you divide #(3x^3+2x^2-2x+4)/(x-3)#?

##### 1 Answer

Jan 22, 2016

The fastest (and perhaps easiest) way is by synthetic division, to obtain:

#### Explanation:

**synthetic division**

#{: (,,x^3,x^2,x,), (,"|",3,2,-2,4), (,"|",,9,33,93), ("-----",,"-----","-----","-----","-----"), (xx(+3),"|",3,11,32,97), (,,x^2,x,,"Remainder") :}#