Question

The value of the polynomial $z^3+2z^2+5z+1$

• A. is equal when $z=1$ and $z=-1$
• B. is equal when $z=1$ and $z=0$
• C. is equal when $z=-1$ and $z=0$
• D. None of the above

Answer 1

Answer: (D)

None of the above

Let $f\left(z\right)=z^3+2z^2+5z+1$

At $z=0$ value of the given polynomial = $f\left(0\right)=1$

Similarly, $f\left(1\right)=9$ &

$f(-1)=-3$

None of the three values are equal.