SOLUTION: Use long division to find the quotient and remainder when f(x)=x^4+5x^3+8x^2+3x−4 is divided by g(x)=x2−8x+9.

Algebra ->  Finance -> SOLUTION: Use long division to find the quotient and remainder when f(x)=x^4+5x^3+8x^2+3x−4 is divided by g(x)=x2−8x+9.      Log On


   

Question 1000452: Use long division to find the quotient and remainder when
f(x)=x^4+5x^3+8x^2+3x−4
is divided by
g(x)=x2−8x+9.
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

f%28x%29=x%5E4%2B5x%5E3%2B8x%5E2%2B3x-4 is divided by g%28x%29=x%5E2-8x%2B9

---------------(x%5E2%2B13x%2B103
(x%5E2-8x%2B9)|x%5E4%2B5x%5E3%2B8x%5E2%2B3x-4
--------------x%5E4-8x%5E3%2B9x%5E2................subtract
---------------0%2B13x%5E3-x%5E2...............add next term from above:3x
-----------------13x%5E3-x%5E2%2B3x
-----------------13x%5E3-104x%5E2%2B117x................subtract
-------------------------103x%5E2-114x...........add next term -4
-------------------------103x%5E2-114x+-4
-------------------------103x%5E2-824x%2B927................subtract
-----------------------------....710x-931=>reminder
so, you have: