1. 1. When do points of discontinuity (holes & asymptotes) occur? They occur when the denominator is ZERO

2. 2. How do you know where a value represents a hole or an asymptote? After factoring, if the factor in the denominator Cancels out it is a HOLE If it does not cancel, it is an ASYMPTOTE

3. 3. How do you put a radical into simplest form? 1. Make factor tree for the number and expand any variables. 2. Circle groups; simplify each group and write the remainder under the radical

4. 4. When adding or subtracting radicals, which part do you add/subtract? Which part must be the same? You add/subtract the numbers in front; but the RADICAND must be the same.

5. 5. When multiplying radicals which part(s) do you multiply? You multiply the numbers in front AND the terms under the radical. Then do a factor tree

6. 6. When do you have to use a “box”/FOIL to multiply? If you have two BINOMIALS being multiplied

7. 7. What is a conjugate? The opposite operation of an expression (plus becomes minus and minus becomes plus)

8. 8. In division problems what do you need to multiply the top and bottom by? THE CONJUGATE OF THE DENOMINATOR

9. 9. What is i?

10. 10. What do you do if you have a negative number under the radical? Re-write the expression using the letter “i”

11. 11. How do you write a polynomial given the roots, where one is imaginary? Add the conjugate to the list Set each one equal to X, make the right side zero Multiply the expressions