# How do you divide #(2x^2-2x+4)/( 2x-1)#?

##### 1 Answer

#### Explanation:

Polynomial division works much the same way as regular long division:

Find a value that multiplied to the first term of the denominator is equal to the first term of the numerator (sorry, formatting this is a little hard)

so your first term is x

next subtract the numerator by new value

Then repeat the first term for this new value, find a value that multiplied by your (original) denominator is equal to the new value

so your second term is

subtract the numerator (from after the first subtraction) by this new value

Finally like the remainder of normal long division you make a fraction over the divisor

This is your last term leaving you with

A great resource for these sorts of problems if you can't understand my formatting: http://www.purplemath.com/modules/polydiv2.htm