1. Use synthetic division to divide $x^3 + 2x^2 - 13x + 10$ by $x - 3$. What is the remainder? ___
2. To divide the polynomial $2x^3 - 5x^2 + x - 9$ by $x + 3$ using synthetic division, what value of $c$ should be used?
3. When the polynomial $x^3 - 7x - 6$ is divided by $x + 2$, the remainder is ___.
4. For which of the following division problems can synthetic division be used directly, as described in the material?
5. Find the remainder when $z^4 + 3z^3 - 10z + 4$ is divided by $z - 2$. The remainder is ___.
6. What is the remainder when the polynomial $f(x) = x^3 - 3x^2 + 5x - 2$ is divided by $x - 2$? The remainder is ___.
7. To find the remainder when a polynomial $f(x)$ is divided by $x+4$, which value must be calculated?
8. Use the Remainder Theorem to find the remainder when $f(x) = 2x^3 + 4x^2 - x + 7$ is divided by $x + 3$. The remainder is ___.
9. What is the remainder when $f(x) = x^3 - 5x^2 + 2x + 8$ is divided by $x - 1$?
10. Find the remainder when the polynomial $f(x) = x^3 - 64$ is divided by $x - 4$. The remainder is ___.