Questions: Use the Remainder Theorem to evaluate the polynomial function.
P(z)=2z^3-4z^2+3z-3 ; P(-2)
P(-2)=
Transcript text: Use the Remainder Theorem to evaluate the polynomial function.
\[
\begin{array}{l}
\quad P(z)=2 z^{3}-4 z^{2}+3 z-3 ; P(-2) \\
P(-2)=
\end{array}
\]
Need Help?
Read It
Submit Answer
Solution
Solution Steps
To evaluate the polynomial function P(z)=2z3−4z2+3z−3 at z=−2 using the Remainder Theorem, substitute z=−2 into the polynomial and compute the result. The Remainder Theorem states that the remainder of the division of a polynomial P(z) by z−a is P(a).
Step 1: Evaluate the Polynomial
To evaluate the polynomial P(z)=2z3−4z2+3z−3 at z=−2, we substitute −2 into the polynomial: