A quotient with fractional coefficients

A quotient with fractional coefficients

5 marks
TGM Original
Express 3x3-8x2+2x+53x+1 in the form Q(x)+ R3x+1, where Q is a polynomial and R is a constant. State the excluded value of x.

Solution:

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Answer:\(x^2-3x+\dfrac53+\dfrac{10}{3(3x+1)}\), \(x\ne-\dfrac13\).

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