A quadratic polynomial in x leaves remainders 4 , 4 and 0 , respectively when divided by (x-1),(x...

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A quadratic polynomial in x leaves remainders 4 , 4 and 0 , respectively when divided by (x-1),(x -2) and (x-3). Find the quadratic polynomial.
(a) -2 x^2+6 x+3
(b) -2 x^2+6 x
(c) -2 x^2+6 x+5
(d) -2 x^2+6 x-5

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