Here are five questions based on the Remainder Theorem:

1. What is the Remainder Theorem, and how is it applied to find the remainder of a polynomial divided by a linear divisor?

2. If a polynomial $f(x)$ is divided by $x - a$, what does the Remainder Theorem tell you about the value of $f(a)$?

3. Given the polynomial $f(x) = 3x^3 + 5x^2 - 4x + 7$, use the Remainder Theorem to find the remainder when $f(x)$ is divided by $x - 2$.

4. How can the Remainder Theorem help verify whether a given value is a root of a polynomial equation?

5. Explain how the Remainder Theorem is related to the Factor Theorem. What additional information does the Factor Theorem provide?

Tip: To apply the Remainder Theorem effectively, always substitute the divisor $x - a$ into the polynomial to find $f(a)$.