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MATHEMATICS VII PART -IPOLYNOMIALSIf ar +bx+cr+d is divided by (x +2), the coefficients of quotient are 4, 5, 6 and the remainder iszero, then the polynomial isG 1

Answer»

Given the coefficients of quotient are 4,5 and 6 . From, the three coefficients and given form of dividend, we can say that the degree of quotient is 2.

Hence the quotient becomes 4x² + 5x+6.since the remainder is zero.Since, dividend = quotient*divisor + remainder

The polynomial = (x+2)(4x² + 5x+6) + 0= 4x³+13x²+16x+12



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