1. I am greater than my square. The sum of numerator and denominator is 5 What fraction am I?

2. 5-5 Polynomial Root Theorems Today’s Objective: I can write and solve polynomials.

3. Divide by: (x + 2) Remainder Theorem: If you divide a polynomial P(x) by x – a, then the remainder is P(a) Factor Theorem: P(a) = 0 if and only if (x – a) is a factor of the polynomial P(x)

4. Remainder Theorem: Find all zeros or roots and write the function in factored form Factors of constant term (p): Factors of leading coefficient (q): Possible rational roots: 321−18−9−9 6219 2730

5. Remainder Theorem: Find all zeros or roots and write the function in factored form Factors of constant term (p): Factors of leading coefficient (q): Possible rational roots: 21−4−4−1130 2−4−30 1−2−150

6. Writing Polynomial Functions given the roots 1. Write in factored form 2. Multiply Conjugate Root Theorem: All irrational and complex roots occur in conjugate pairs. IrrationalComplex Pg. 316 #9-27 by 3s, 34, 38, 39

7. 5-5 Polynomial Root Theorems Day 2 Today’s Objective: I can write and solve polynomials.

8. 148−3−7−2 41292 4 920 Remainder Theorem: Find all zeros or roots and write the function in factored form Factors of constant term (p): Factors of leading coefficient (q): Possible rational roots: −2−241292 −8 −2 4410

9. Writing Polynomial Functions given the roots

10. What is my polynomial function?