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Question

If the polynomial 3x44x33x1 is divided by x1, then the remainder is :

A
1
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B
3
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C
5
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D
-5
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Solution

The correct option is B -5
For finding the remainder, we need to use remainder theorem
let p(x)=3x44x33x1
Hence, to find the remainder on dividing by x1, we need to equate it to 0 and put that value of x in p(x)
p(x)=3x44x33x1
x1=0
x=1
p(1)=3×144×133×11
p(1)=5

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