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Question

The polynomial equations P1(x) = x3+x2+x+1 and P2(x) = x2−1 have how many factors in common?


A

1

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B

2

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C

3

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D

0

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Solution

The correct option is A

1


P1(x) can be factorized as (x+1)(x2+1). So, There are two factors of P1(x)

P2(x) can be factorized as(x+1)(x1) and hence,there are are two factors of P2​(x).

Therefore, there is one factor in common for P1(x) and P2(x).


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