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