Presentation is loading. Please wait.

Presentation is loading. Please wait.

Writing Polynomial Functions

Published byLoreen Singleton Modified over 5 years ago

Similar presentations

Presentation on theme: "Writing Polynomial Functions"β€” Presentation transcript:

1 Writing Polynomial Functions
Honors Algebra II with Trigonometry Mr. Agnew

2 Essential Question Essential Vocabulary
How do you write a polynomial function given its zeros? Essential Vocabulary Fundamental Theorem of Algebra Conjugate Zeros Theorem Irrational Root Imaginary Root

3 Fundamental Theorem of Algebra
The total number of zeros/solutions to a polynomial equation is equal to the degree of the polynomial

4 Conjugate Zeros Given a polynomial with rational coefficients:
If 𝒂+ 𝒃 is a root, then so is π’‚βˆ’ 𝒃 If 𝒂+π’ƒπ’Š is a root, then so is π’‚βˆ’π’ƒπ’Š β€œIrrational and imaginary roots come in conjugate pairs.”

5 Homework: Homework 6.6: Writing Polynomials

Download ppt "Writing Polynomial Functions"

Similar presentations

Notes 6.6 Fundamental Theorem of Algebra

Notes 6.6 Fundamental Theorem of Algebra
2.7 Apply the Fundamental Theorem of Algebra day 2

2.7 Apply the Fundamental Theorem of Algebra day 2
Solving Polynomial Equations. Fundamental Theorem of Algebra Every polynomial equation of degree n has n roots!

Solving Polynomial Equations. Fundamental Theorem of Algebra Every polynomial equation of degree n has n roots!
General Results for Polynomial Equations

General Results for Polynomial Equations
Lesson 4-1 Polynomial Functions.

Lesson 4-1 Polynomial Functions.
Complex Zeros; Fundamental Theorem of Algebra

Complex Zeros; Fundamental Theorem of Algebra
9.9 The Fundamental Theorem of Algebra

9.9 The Fundamental Theorem of Algebra
Zeros of Polynomial Functions Section 2.5 Page 312.

Zeros of Polynomial Functions Section 2.5 Page 312.
The Rational Root Theorem. ο‚­ Is a useful way to find your initial guess when you are trying to find the zeroes (roots) of the polynomial. ο‚­ THIS IS JUST.

The Rational Root Theorem. ο‚­ Is a useful way to find your initial guess when you are trying to find the zeroes (roots) of the polynomial. ο‚­ THIS IS JUST.
Section 5.5 Theorems about Roots of Polynomial Equations.

Section 5.5 Theorems about Roots of Polynomial Equations.
6.6 The Fundamental Theorem of Algebra

6.6 The Fundamental Theorem of Algebra
7.5 Zeros of Polynomial Functions Objectives: Use the Rational Root Theorem and the Complex Conjugate Root Theorem. Use the Fundamental Theorem to write.

7.5 Zeros of Polynomial Functions Objectives: Use the Rational Root Theorem and the Complex Conjugate Root Theorem. Use the Fundamental Theorem to write.
OUTLINE  Homework (and homework questions)  Ask any review questions you want  Review long division, solve by factoring and graphing calculators  BREAK.

OUTLINE  Homework (and homework questions)  Ask any review questions you want  Review long division, solve by factoring and graphing calculators  BREAK.
Rational Root and Complex Conjugates Theorem. Rational Root Theorem Used to find possible rational roots (solutions) to a polynomial Possible Roots :

Rational Root and Complex Conjugates Theorem. Rational Root Theorem Used to find possible rational roots (solutions) to a polynomial Possible Roots :
5.5 Theorems about Roots of Polynomial Equations P312-315.

5.5 Theorems about Roots of Polynomial Equations P
Do Now: Find all real zeros of the function.

Do Now: Find all real zeros of the function.
2.7 Apply the Fundamental Theorem of Algebra Polynomials Quiz: Tomorrow (over factoring and Long/Synthetic Division) Polynomials Test: Friday.

2.7 Apply the Fundamental Theorem of Algebra Polynomials Quiz: Tomorrow (over factoring and Long/Synthetic Division) Polynomials Test: Friday.
Section 3.3 Theorems about Zeros of Polynomial Functions.

Section 3.3 Theorems about Zeros of Polynomial Functions.
Using the Fundamental Theorem of Algebra 6.7. Learning Targets Students should be able to… -Use fundamental theorem of algebra to determine the number.

Using the Fundamental Theorem of Algebra 6.7. Learning Targets Students should be able to… -Use fundamental theorem of algebra to determine the number.
3.6 Complex Zereos. The Fundamental Theorem of Algebra The Fundamental Theorem of Algebra says that every polynomial with complex coefficients must have.

3.6 Complex Zereos. The Fundamental Theorem of Algebra The Fundamental Theorem of Algebra says that every polynomial with complex coefficients must have.

Similar presentations

Ads by Google