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

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 Click here to see ALL problems on Divisibility and Prime Numbers Question 382921: use long division to find the quotient when 2x^5+4x^4-x^3-x^2+7 is divided by 2x^2-1Answer by CharlesG2(828)   (Show Source): You can put this solution on YOUR website!use long division to find the quotient when 2x^5+4x^4-x^3-x^2+7 is divided by 2x^2-1 synthetic division ..............x^3 + 2x^2 + (1/2) 2x^2 - 1 --> 2x^5 + 4x^4 - x^3 - x^2 + 0x + 7 .............2x^5 + 0x^4 - x^3 ....................4x^4 + 0x^3 - x^2 ....................4x^4 + 0x^3 - 2x^2 ...................................x^2 + 0x + 7 ...................................x^2 + 0x - (1/2) ............................................(15/2) x^3 + 2x^2 + (1/2) + 15/(2 * (2x^2 - 1)) x^3 + 2x^2 + (1/2) + 15/(4x^2 - 2) check: (2x^2 - 1)(x^3 + 2x^2 + (1/2) + 15/(4x^2 - 2)) x^3(2x^2 - 1) + 2x^2(2x^2 - 1) + (1/2)(2x^2 - 1) + (15/(4x^2 - 2))(2x^2 - 1) 2x^5 - x^3 + 4x^4 - 2x^2 + x^2 - (1/2) + (15/2) 2x^5 + 4x^4 - x^3 - x^2 + (14/2) 2x^5 + 4x^4 - x^3 - x^2 + 7, yes