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Question

Which of the following is a factor of (49x21)+(1+7x)2


A

1-7x

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B

1+7x

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C

49x

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D

x+1

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Solution

The correct option is B

1+7x


49x21 = (7x+1)(7x-1)
Here, P(x) = (7x+1)(7x1)+(1+7x)2
= (7x+1) ((7x-1)+ (1+7x))

It is clear from above that (1+7x) is a factor of the given polynomial expression.


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