**The Fundamental Theorem of Algebra:**

If f(x) is a polynomial of degree n where n > 0, then the equation f(x)=0 has at least one solution in the set of complex numbers

**Corollary:**

If f(x) is a polynomial of degree n where n > 0, then the equation f(x)=0 has exactly n solutions provided each solution repeated twice is counted as two solutions, each solution repeated three times is counted as three solutions, and so on.

a + bi and a – bi are **complex conjugates**. If a + bi is an imaginary zero of f(x), then a – bi is also a 0

**Zero:** k is a zero of the polynomial function f(x), find by setting f(x)=0

**Factor:** (x – k) is a factor of the polynomial f(x)

**Solution:** k is a solution (or root) of the polynomial equation f(x) = 0

**Tendency:** What the function is doing

There are 3 tendencies up, down, and no change

**Extreme Point:**

The minimum value (min) OR Maximum value (max)

Each function has it’s **own min and max**, even if it is a part of a bigger function

Min and max is only ONE value but can be MULTIPLE points

**Local:** characteristics for that ONE specific function

**Global:** characteristics for the entire big function AKA piecewise function

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