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Polynomials: Division
(7 x3 + 24 x2 – 27 x – 38) ÷ (7 x2 – 4 x – 8)
= x2 + x + with remainder=x +

tickcross


Worked Solution:

 x+ 4
--
7 x2 – 4 x – 8  7 x3  + 24 x2  – 27 x  – 38
7 x3 – 4 x2 – 8 x
--
28 x2 – 19 x – 38
28 x2 – 16 x – 32
--
–3 x –6
Quotient = x + 4 and remainder = –3 x – 6:
7 x3 + 24 x2 – 27 x – 38 = ( x + 4 )( 7 x2 – 4 x – 8 ) + ( –3 x – 6 )

© MEI Produced by Dr Ron Knott, 24 August 2004
tom . button [AT] mei . org . uk 		Test reference: PolyDiv.html?ref=12887