When a polynomial p(x) is drvided by 3x-1, the quotient and romainder – InterviewSolution

1.

When a polynomial p(x) is drvided by 3x-1, the quotient and romainder anr + 2x-3 and 5 respectively Find plx)

Answer»

As given,Quotient = x^2 + 2x - 3,Remainder = 5

Then,p(x) = (x^2 + 2x - 3)*(3x - 1) + 5= 3x^3 - x^2 + 6x^2 - 2x - 9x + 3 + 5= 3x^3 + 5x^2 - 11x + 8

Therefore, p(x) = 3x^3 + 5x^2 - 11x + 8

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