# SOLUTION: Use long division to find the quotient and remainder when 2x^5+4x^4-x^3-x^2+7 is divided by 2x^2-1

Algebra ->  Algebra  -> Polynomials-and-rational-expressions -> SOLUTION: Use long division to find the quotient and remainder when 2x^5+4x^4-x^3-x^2+7 is divided by 2x^2-1      Log On

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 Click here to see ALL problems on Polynomials-and-rational-expressions Question 169236: Use long division to find the quotient and remainder when 2x^5+4x^4-x^3-x^2+7 is divided by 2x^2-1Answer by Edwin McCravy(8909)   (Show Source): You can put this solution on YOUR website!``` Use long division to find the quotient and remainder when is divided by We must fill in gaps in powers with terms with 0 coefficients. I also will put in 1-coefficients: Write: as and as 1x3 + 2x2 + 0x + .5 ---------------------------------- 2x2 + 0x - 1)2x5 + 4x4 - 1x3 - 1x2 + 0x + 7 2x5 + 0x4 - 1x3 --------------- 4x4 + 0x3 - 1x2 4x4 + 0x3 - 2x2 --------------- 0x3 + 1x2 + 0x 0x3 + 0x2 + 0x --------------- 1x2 + 0x + 7 1x2 + 0x - .5 --------------- 7.5 7.5 Answer: x3 + 2x2 + .5 + ---------- 2x² - 1 Edwin```