1. DAILY CHECK
Complex roots

2. 1C.6 – Writing Polynomials Given the Roots

3. ***Remember: Complex zeros come in pairs!!!***
Steps:
1. Write each ZERO AS A FACTOR.
x=#, and move the # to the other side
put in ( )
2. MULTIPLY each factor together [distribute].
Check that the degree matches the number of zeros you had to begin with!
3. Plug function into calculator and check for rational roots in table!
***Remember: Complex zeros come in pairs!!!***

4. Find the polynomial with the given roots:

5. Find the polynomial with the given roots:
***You always want to multiply the radicals or imaginaries together FIRST!

6. Find the polynomial with the given roots:
***You always want to multiply the radicals or imaginaries together FIRST!

7. Find the polynomial with the given roots:

8. Finding the Intersection of Polynomials
Algebraically by Substitution

9. Steps:
1. Make sure at least ONE equation is equal to Y. 2. SUBSTITUTE one equation into the other. 3. Set the equation EQUAL TO Solve for X by FACTORING AND SOLVING. 5. Plug each X into one of the equations, and SOLVE FOR Y. 6. Write as ORDERED PAIRS (X, Y).

10. Ex 6 - Find the intersection using substitution.

11. Ex 7 - Find the intersection using substitution.

12. Ex 8 - Find the intersection using substitution.