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Question

If the polynomial 3x44x33x1 is divided by x1, then the reminder 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 D 5
For finding the remainder, we need to use remainder theorem.
Let p(x)=3x44x33x1
x3−2x2+x+1
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).
x1=0
x=1
p(1)=remainder
=3(1)44(1)33(1)1
=5

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