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Question
The remainder when the polynomial p(x)= x3 – 3x2 + 2x – 1 is divided by x-2 is
The remainder when the polynomial p(x)= x3 – 3x2 + 2x – 1 is divided by x-2 is
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Solution
The correct option is A 1
The remainder theorem tells that if a polynomial p(x) is divided by x-a then the remainder is equal to p(a ), so
In this case the remainder is p(2)=8-12+4-1= -1
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The remainder theorem tells that if a polynomial p(x) is divided by x-a then the remainder is equal to p(a ), so
In this case the remainder is p(2)=8-12+4-1= -1
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