1. Finding Rational Zeros (Day 1)
Algebra 2: Section 6.6
Finding Rational Zeros
(Day 1)

2. Definitions Rational Zeros
Rational numbers that gives an answer of zero when plugged into the function
Where the graph of the function crosses the x-axis

3. The Rational Zero Theorem
If a function has integer coefficients, then every rational zero is in this form……division:

4. Examples
Only find all possible rational zeros

5. Steps to find rational zeros of a function
List all the possible rational zeros
Narrow down possible rational zeros using graphing calculator
Test the possible rational zeros using synthetic division
“Factor the polynomial and solve”
and/or “Use the quadratic formula”
and/or “Continue to test more possible zeros using synthetic division”…(tomorrow)
Solve

6. Examples List all possible rational zeros
Narrow Down Possible Rational Zeros

7. Use synthetic division to find rational zero (Check first candidate -3)
Factor and Solve the Polynomial

8. Homework
P.362 # all
#24 & 26 (explain directions!)

9. ADD HOMEWORK from 6.6 Day 1 to TODAY!!!

10. Finding Rational Zeros (Day 2)
Algebra 2: Section 6.6
Finding Rational Zeros
(Day 2)

11. ADD HOMEWORK from 6.6 Day 1 to TODAY!!!

12. Examples List all possible rational zeros
Narrow Down Possible Rational Zeros

13. Use synthetic division to find rational zero (Check first candidate -2/3)
Factor, then use synthetic division again

14. Factor, then solve using quadratic and zero product property

16. Homework
P.363 #48-58 evens, omit #54