Question

The polynomial equations $P_1$(x) = $x^3+x^2+x+1$ and $P_2$(x) = $x^2-1$ have how many zeroes in common?

• A. 1
• B. 2
• C. 3
• D. 0

Answer 1

The correct option is A

1

$P_1$(x) can be factorized as $(x+1)(x^2+1)$ and $P_2$(x) can be factorized as $(x+1)(x-1)$. So, there are two factors of $P_1$(x) and $P_2$(x) and (x+1) is common factor for both of these. Hence, one zero is common.