IGCSE ADDMATH 0606/13/M/J/20 Q5


5 p(x)=6x³+ax²+12x+b, where a and b are integers.
p(x) has a remainder of 11 when divided by x-3 and a remainder of -21 when divided by x+1.
(a) Given that p(x)=(x-2)Q(x), find Q(x), a quadratic factor with numerical coefficients.
(b)Hence solve p(x)=0.
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