Question

How many zeroes do the polynomials
$P_1\left(x\right)=x^3+x^2+x+1$ and
$P_2\left(x\right)=x^2+1$
have in common?

• A. 1
• B. 2
• C. 3
• D. 0

Answer 1

The correct option is D

0

$P_1\left(x\right)=x^3+x^2+x+1$
$=(x+1)(x^2+1)$.
So, there are two factors of $P_1\left(x\right)$

On the other hand, $P_2\left(x\right)$ cannot be factorised.

Thus, $P_1\left(x\right)$ and $P_2\left(x\right)$ have no zeroes in common.