1.

Expand the following using either the Binomial Theorem or Pascal's Triangle. You must show your work for credit. (x - 5)⁵

2.

Use the Rational Zeros Theorem to wr.ite a list of all possible rational zeros of the function.

f(x) = -2x⁴ + 4x³ + 3x² + 18

3.

Find the real numbers x and y that make the equation true.

-3 + yi = x + 6i

4.

Using the given zero, find one other zero of f(x). Explain the process you used to find your solution.

1 - 2i is a zero of f(x) = x⁴ - 2x³ + 6x² - 2x + 5.