Question

on dividing x cube minus 3x square + 3X square + X + 2 by a polynomial g(x) the quotient and remainder x minus 2 and minus 2 X + 4 respectively find. g(x)

Answer 1

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Answer 2

Answer:

WE HAVE DIVIDEND = x^3-3x^2+x+2

                    DIVISOR = ?

                QUOTIENT =  x-2

             REMAINDER = -2x+4

we know that  DIVIDEND=QUOTIENT X DIVISOR + REMAINDER

HENCE , x^3-3x^2+x+2  =  x-2 X ( DIVISOR)+(-2x+4)

=>   x^3-3x^2+x+2 -(-2x+4) = x-2 X(DIVISOR)

=>   x^3-3x^2+x+2 +2x-4 by x-2 = divisor

.:  now divide it and get the divisor

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