Two remainder conditions

Two remainder conditions

5 marks
TGM Original
P(x)=2x3+ax2+bx-6. Given that x-1 is a factor and division by x+1 leaves remainder -12, find a,b and factorise P(x).

Solution:

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Answer:\(a=0,b=4\); \(2(x-1)(x^2+x+3)\).

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