To view the slideshow, click on “Slide Show” tab, then select “From Beginning”.

Slides:

Advertisements

Similar presentations

Notes 6.6 Fundamental Theorem of Algebra

Advertisements

Remainder/ Factor Theorem End Behavior Zeros PolynomialsGrab.

Rational Root Theorem.

Zeros of Polynomial Functions Section 2.5. Objectives Use the Factor Theorem to show that x-c is a factor a polynomial. Find all real zeros of a polynomial.

2.5 Zeros of Polynomial Functions

Section 3.4 Zeros of Polynomial Functions. The Rational Zero Theorem.

Zeros of Polynomial Functions

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

EXAMPLE 2 Find all real zeros of f (x) = x 3 – 8x 2 +11x SOLUTION List the possible rational zeros. The leading coefficient is 1 and the constant.

Section 5.6 – Complex Zeros; Fundamental Theorem of Algebra Complex Numbers Standard form of a complex number is: a + bi. Every complex polynomial function.

Lesson 2.5 The Fundamental Theorem of Algebra. For f(x) where n > 0, there is at least one zero in the complex number system Complex → real and imaginary.

6.7 – Using the Fundamental Theorem of Algebra

Sullivan Algebra and Trigonometry: Section 5.6 Complex Zeros; Fundamental Theorem of Algebra Objectives Utilize the Conjugate Pairs Theorem to Find the.

Complex Zeros; Fundamental Theorem of Algebra

9.9 The Fundamental Theorem of Algebra

The Rational Root Theorem.  Is a useful way to find your initial guess when you are trying to find the zeroes (roots) of the polynomial.  THIS IS JUST.

Real Zeros of a Polynomial Function Objectives: Solve Polynomial Equations. Apply Descartes Rule Find a polynomial Equation given the zeros.

6.6 The Fundamental Theorem of Algebra

Copyright © 2011 Pearson, Inc. 2.4 Real Zeros of Polynomial Functions.

Section 4.3 Zeros of Polynomials. Approximate the Zeros.

1 Using the Fundamental Theorem of Algebra.  Talk about #56 & #58 from homework!!!  56 = has -1 as an answer twice  58 = when you go to solve x 2 +

Real Zeros of Polynomial Functions. Quick Review.

Polynomials Integrated Math 4 Mrs. Tyrpak. Definition.

Section 3.3 Theorems about Zeros of Polynomial Functions.

Warm Up. Find all zeros. Graph.. TouchesThrough More on Rational Root Theorem.

Using the Fundamental Theorem of Algebra 6.7. Learning Targets Students should be able to… -Use fundamental theorem of algebra to determine the number.

Chapter 2 Polynomial and Rational Functions. Warm Up

Objectives Use the Fundamental Theorem of Algebra and its corollary to write a polynomial equation of least degree with given roots Identify all of the.

Fundamental Theorem of Algebra TS: Demonstrating understanding of concepts Warm-Up: T or F: A cubic function has at least one real root. T or F: A polynomial.

Algebra II Explorations Review ( ) Day Divide using LONG Division. Show all work. Answer:

Essential Questions How do we use the Fundamental Theorem of Algebra and its corollary to write a polynomial equation of least degree with given roots?

Section 3-6 Fundamental Theorem of Algebra

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

Remainder and Factor Theorems

Section 4.6 Complex Zeros; Fundamental Theorem of Algebra.

Holt McDougal Algebra 2 Fundamental Theorem of Algebra How do we use the Fundamental Theorem of Algebra and its corollary to write a polynomial equation.

2.5 The Fundamental Theorem of Algebra. The Fundamental Theorem of Algebra The Fundamental Theorem of Algebra – If f(x) is a polynomial of degree n, where.

Section 6: Fundamental Theorem of Algebra Use the Fundamental Theorem of Algebra and its corollary to write a polynomial equation of least degree with.

Examples Rational Zero Theorem For the following polynomials, list all of the possible real zeroes. Do not forget the  ’s. 1. x x x

Solve polynomial equations with complex solutions by using the Fundamental Theorem of Algebra. 5-6 THE FUNDAMENTAL THEOREM OF ALGEBRA.

Section 3.4 Zeros of Polynomial Functions. The Rational Zero Theorem.

Chapter 2 – Polynomial and Rational Functions 2.5 – The Fundamental Theorem of Algebra.

Algebra Finding Real Roots of Polynomial Equations.

Algebra 2. Solve for x Algebra 2 (KEEP IN MIND THAT A COMPLEX NUMBER CAN BE REAL IF THE IMAGINARY PART OF THE COMPLEX ROOT IS ZERO!) Lesson 6-6 The Fundamental.

Warm Up Compute the following by using long division.

HOMEWORK CHECK.

Chapter 6 Polynomials Review

Section 3.4 Zeros of Polynomial Functions

Rational Root Theorem and Fundamental Theorem of Algebra

Notes Over 3.4 The Rational Zero Test

The Fundamental Theorem of Algebra

Warm-up Multiply the factors and write in standard form.

Rational Root and Complex Conjugates Theorem

Rational Root Theorem and Fundamental Theorem of Algebra

Finding Real Roots of Polynomial Equations

Lesson 7.2: Finding Complex Solutions of Polynomial Equations

3.8 Complex Zeros; Fundamental Theorem of Algebra

Lesson 2.5 The Fundamental Theorem of Algebra

Section 3.4 Zeros of Polynomial Functions

Lesson 2.5 The Fundamental Theorem of Algebra

5.7: Fundamental Theorem of Algebra

Apply the Fundamental Theorem of Algebra

The Fundamental Theorem of Algebra

Rational Root Theorem.

4.6 - Fundamental Theorem of Algebra

Fundamental Theorem of Algebra

If you got an A you have a star on the Wall with your name Congrat’s!

1) Find f(g(x)) and g(f(x) to show that f(x) and g(x) are inverses

Presentation transcript:

To view the slideshow, click on “Slide Show” tab, then select “From Beginning”.

Use these slides to locate the answers to the questions on your worksheet. It is your job to “HUNT” for the information at each website. Write the answers on your worksheet as you find them, being sure to follow all directions.

State the definition of a polynomial and give an example of a polynomial based upon your definition.

Complete the chart, giving the name of the polynomial based upon its degree. Then give an example of each type of polynomial (NOT the ones found on the website).

State the Rational Zeros Theorem. n4.rhtml

sOfPolynomials.aspx

What is synthetic division?

Who was the first person to fully prove the Fundamental Theorem of Algebra, which simply states that a polynomial of degree n has n complex roots?

Give at least three specific examples of how polynomials can be used in the real world. polynomials.html