SOLUTION: 3x^4 -2x^3 + 5x^2 + x + 1; x^2+2x Please explain step by step I would really appreciate any help

Algebra.Com
Question 172908: 3x^4 -2x^3 + 5x^2 + x + 1; x^2+2x
Please explain step by step
I would really appreciate any help

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
I assume that you want to do long division right?


Start with the given expression


Rewrite the expression like this:

Photobucket - Video and Image Hosting


Now the question is: How many times does go into ?


It goes in times. So place over the term .


Photobucket - Video and Image Hosting


Now multiply by to get


Reverse the signs of to get (place this underneath the dividend)





Photobucket - Video and Image Hosting



Now Add to get:

Photobucket - Video and Image Hosting



======================================================================



Now the question is now: How many times does go into ?


It goes in times. Place this term over in the dividend.


Photobucket - Video and Image Hosting


Now multiply -8x by to get


Reverse the signs of to get (place this underneath the last polynomial)


Photobucket - Video and Image Hosting


Now add to get:

Photobucket - Video and Image Hosting


======================================================================


Now how many times does go into ?


It goes in times. Place this over the term in the dividend.


Photobucket - Video and Image Hosting


Now multiply 21 by to get


Reverse the signs of to get


Photobucket - Video and Image Hosting


Now add to get:

Photobucket - Video and Image Hosting


Since does NOT go into . This means that the long division process stops.


So the quotient is and the remainder is



This means that

RELATED QUESTIONS

when P(x) us divided by 2x+1; the quotient is x^2 - x + 4 and the remainder is 3. Find... (answered by stanbon)
Find the vertex, axis, and the x & y intercepts of y= (2x-7) (2x-1) please explain (answered by jojo14344)
f(x)=x^3-4x (Hint: x=1 is a triple root) please explain step by step I would... (answered by jim_thompson5910)
please help with step by step 5x^4+2x^3 over 2x^4+3x^3 multiply by 2x^3+x^2-3x over... (answered by jim_thompson5910)
Help! Please! I already submitted these, but didn't get any answers. Thanks! 2/v -... (answered by Alan3354)
Could someone please help me with this problem. It says to graph the ellipse... (answered by ichudov)
I need help with these, if someone could explain them step-by-step, I would really... (answered by MathLover1)
I cant solve these problems at all. I solved it like million times but i dont know how... (answered by woolybear)
I need help with Inequalities and solving the equation. I don't get it so if you can... (answered by KMST)