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Polynomials: Division
When 6 u3 – 11 u2 + 33 u – 24 is divided by u2 – u + 4
the quotient is u2 + u +
and the remainder is u +

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Worked Solution:

 6 u –5
--
u2 – u + 4  6 u3  – 11 u2  + 33 u  – 24
6 u3 – 6 u2 + 24 u
--
–5 u2 + 9 u – 24
–5 u2 + 5 u – 20
--
4 u –4
Quotient = 6 u – 5 and remainder = 4 u – 4:
6 u3 – 11 u2 + 33 u – 24 = ( 6 u – 5 )( u2 – u + 4 ) + ( 4 u – 4 )

© MEI Produced by Dr Ron Knott, 24 August 2004
tom . button [AT] mei . org . uk 		Test reference: PolyDiv.html?ref=34652