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Question

Find the remainder when p(x)=3x34x2+10x7 is divided by x2

A
21
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B
21
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C
22
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D
22
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Solution

The correct option is B 21
Remainder Theorem states that the remainder of the division of a polynomial f(x) by a linear polynomial (xa) is f(a) or in other words (xa) is divisor of f(x) if and only if f(a)=0
Here a=2
Hence the remainder is p(2)
p(2)=3(2)34(2)2+10(2)7=21
remainder is 21

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