Question

how do I do long division with polynomial??

Answer 1

where is the polynomial ?

Answer 2

http://www.coolmath.com/algebra/05-division-of-polynomials/02-long-division-01.htm

Answer 3

to honest there're two methods to divide a polynomial either by long division or by factorisation

Answer 4

thanks guys!

Answer 5

First, I set up the division:
For the moment, I'll ignore the other terms and look just at the leading x of the divisor and the leading x2 of the dividend.

If I divide the leading x2 inside by the leading x in front, what would I get? I'd get an x. So I'll put an x on top:


Now I'll take that x, and multiply it through the divisor, x + 1. First, I multiply the x (on top) by the x (on the "side"), and carry the x2 underneath:

Then I'll multiply the x (on top) by the 1 (on the "side"), and carry the 1x underneath:

Then I'll draw the "equals" bar, so I can do the subtraction.
To subtract the polynomials, I change all the signs in the second line...






...and then I add down. The first term (the x2) will cancel out:



I need to remember to carry down that last term, the "subtract ten", from the dividend:



Now I look at the x from the divisor and the new leading term, the –10x, in the bottom line of the division. If I divide the –10x by the x, I would end up with a –10, so I'll put that on top:



Now I'll multiply the –10 (on top) by the leading x (on the "side"), and carry the –10x to the bottom:




...and I'll multiply the –10 (on top) by the 1 (on the "side"), and carry the –10 to the bottom:




I draw the equals bar, and change the signs on all the terms in the bottom row:





Then I add down:

Answer 6

thanks :D