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Question

If x3−5x2+7 is divided by (x+2), then the remainder is

A
21
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B
20
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C
17
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D
25
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Solution

The correct option is A 21
let f(x)=x35x2+7
Now by remainder theorem, when f(x) is divided by (xa), then remainder is equal to f(a).
Similarly, in this case we have remainder f(2)
f(2)=(2)35(2)2+7=820+7=21

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