SOLUTION: Find the quotient using long division. Don't forget to write the polynomials in descending order and fill in the missing terms. 8-5x^2/x+2 Thank you!

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find the quotient using long division. Don't forget to write the polynomials in descending order and fill in the missing terms. 8-5x^2/x+2 Thank you!      Log On


   



Question 946171: Find the quotient using long division. Don't forget to write the polynomials in descending order and fill in the missing terms.
8-5x^2/x+2
Thank you!

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

%288-5x%5E2%29%2F%28x%2B2%29 .... to write the polynomials in descending order, arranged from largest to smallest

the missing term is x term, so we will add it as 0%2Ax
so, we have
%28-5x%5E2%2B0%2Ax%2B8%29%2F%28x%2B2++%29
-------(.....-5x...+10
%28x%2B2+%29|-5x%5E2%2B0%2Ax%2B8
...........-5x%5E2-10x.........subtract
.....................10x..............bring 8 down
.....................10x%2B8.........
.....................10x%2B20.........subtract
..............................-12.........reminder
answer:
%288-5x%5E2%29%2F%28x%2B2%29=-5x%2B10-12%2F%28x%2B2%29