SOLUTION: Divide and find a remainder for this question has got me pulling my hair out I can only get to the -9 and I get lost after that, when trying to check my answer it does not work ple

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Divide and find a remainder for this question has got me pulling my hair out I can only get to the -9 and I get lost after that, when trying to check my answer it does not work ple      Log On


   



Question 752365: Divide and find a remainder for this question has got me pulling my hair out I can only get to the -9 and I get lost after that, when trying to check my answer it does not work please help me!!!
(20x^3+x^2-9x+6)/(4x+1)

Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Divide and find a remainder for this question has got me pulling my hair out I can only get to the -9 and I get lost after that, when trying to check my answer it does not work please help me!!!
(20x^3+x^2-9x+6)/(4x+1)
------
1st term of the quotient: 5x^2
-----
20x^3+x^2-9x+6
20x^2+5x^2
-----
-4x^2-9x+6
------
2nd term of the quotient: -x
-4x^2-9x+6
-4x^2-x
-----------------
-8x+6
-------
3rd term of the quotient: -2
-8x+6
-8x-2
------
Remainder = 8
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Cheers,
Stan H.
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Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
...............5x%5E2-x-2
......._____________________
4x%2B1..|20x%5E3%2Bx%5E2-9x%2B6
...............20x%5E3%2B5x%5E2
............_______________
........................-4x%5E2-9x%2B6
........................-4x%5E2-x
........................_________________
..................................-8x%2B6
..................................___________
..........................................8

so, the answer is:%2820x%5E3%2Bx%5E2-9x%2B6%29%2F%284x%2B1%29=5x%5E2-x-2%2B8%2F%284x%2B1%29