Question

Evaluate the polynomial X^4 + 4x^3 – 2x² +9 when x=-1.

Answer 1

For x = -1, we have:

$\begin{gathered} x^4+4x^3-2x^2+9 \\ \Rightarrow(-1)^4+4(-1)^3-2(-1)^2+9=1+4(-1)-2(1)+9 \\ =1-4-2+9=-3+7=4 \end{gathered}$

Therefore, the polynomial evaluated in x=-1 results in 4