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Question

How many zeroes do the polynomials
P1(x)=x3+x2+x+1 and
P2(x)=x2+1 have 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 D

0


P1(x)=x3+x2+x+1
=(x+1)(x2+1).
So, There are two factors for P1(x).

On the other hand, P2(x) cannot be factorised.

Thus, P1(x) and P2(x) have no zeroes in common.


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