1. Use any method to divide. 2𝑥 3 + 4𝑥 2 −𝑥+3÷𝑥+2
Bell Ringer
Use any method to divide. 2𝑥 3 + 4𝑥 2 −𝑥+3÷𝑥+2

2. Zeroes of polynomials
November 16, 2015

3. Objective Essential Question
Students will be able to write polynomial equations when given the zeroes.
How can you use your prior knowledge to help you determine a method to solve problems?

4. Reviewing expectations & the log
Your phone will stay out of sight the entire class period. If I see it, I take it.
You should come to class on time and prepared with at least a pencil and paper
If I see you talking while I’m talking, you will sign the log.
If you are not in your assigned seat when the bell rings, you will be marked absent. I take attendance as soon as I come in the class.
If I tell you to work on a problem, I expect you to be on task and focused
If you are not exempt from homework, you must attempt every problem! Even if you think it may be wrong, I need to see work of some sort!
If you do not meet one of these expectations, you will sign the log.

5. Factor the following expression
𝑥 2 −7𝑥+6

6. If given zeroes of a polynomial…
You are going to work backwards to get the equation of the polynomial.
Write the zero as a binomial.
FOIL the binomials.
Multiply/distribute to any trinomials.

7. Zeroes are 1, 2, and 3 Write the zero as a binomial.
FOIL the binomials.
Multiply/distribute to any trinomials.

8. ZEROES are -2, 1, and 3 Write the zero as a binomial.
FOIL the binomials.
Multiply/distribute to any trinomials.

9. Zeroes are -3, 1, and 6

10. Zeroes are -5, -1, and 2

11. Complex and irrational conjugate theorem
Complex Conjugate Theorem: If f is polynomial function with real coefficients, and a+bi is an imaginary zero, then a-bi is also a zero.
Irrational Conjugate Theorem: If f is a polynomial function with rational coefficients, and 𝑎+ 𝑏 is a zero, then 𝑎− 𝑏 is also a zero.

12. Zeroes 3 and 2+ 5

13. Zeroes 4 and 1+ 5