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Question

Find the value of k, if x2+2x=3k has a remainder 3 when divided by x−4.

A
5
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B
6
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C
7
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D
8
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Solution

The correct option is D 7
Replace x as 4 in the expression:
x2+2x=3k
= 42+2(4)=3k
=16+83k
=243k
So, the remainder is 243k. Now substitute the value of remainder as 3.
243k=3
243=3k
21=3k
k=7

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