Presentation is loading. Please wait.

Presentation is loading. Please wait.

Notes Over 3.4 The Rational Zero Test

Published byAlexander Park Modified over 5 years ago

Similar presentations

Presentation on theme: "Notes Over 3.4 The Rational Zero Test"— Presentation transcript:

1 Notes Over 3.4 The Rational Zero Test
Find all the rational zeros of the polynomial function.

2 Notes Over 3.4 The Rational Zero Test
Find all the rational zeros of the polynomial function.

3 Notes Over 3.4 Find all the real zeros of the polynomial function.

4 Notes Over 3.4 Using Zeros to Write Polynomial Functions
Write a polynomial function of least degree that has real coefficients, the given zeros, and a leading coefficient of 1.

5 Notes Over 3.4 Using Zeros to Write Polynomial Functions
Write a polynomial function of least degree that has real coefficients, the given zeros, and a leading coefficient of 1.

6 Notes Over 3.4 The Rational Zero Test
Find all the zeros of the polynomial function.

7 Notes Over 3.4 The Rational Zero Test
Find all the zeros of the polynomial function. given that 2 + 3i is a zero of f.

8 Notes Over 3.4 The Rational Zero Test
Find all the zeros of the polynomial function.

9 Notes Over 3.4

Download ppt "Notes Over 3.4 The Rational Zero Test"

Similar presentations

4.4 Rational Root Theorem.

4.4 Rational Root Theorem.
Notes 6.6 Fundamental Theorem of Algebra

Notes 6.6 Fundamental Theorem of Algebra
Factoring with Real Number Coefficients

Factoring with Real Number Coefficients
Section 5.5 – The Real Zeros of a Rational Function

Section 5.5 – The Real Zeros of a Rational Function
Objective Video Example by Mrs. G Give It a Try Lesson 6.6  Find the rational and real zeros of a polynomial function.

Objective Video Example by Mrs. G Give It a Try Lesson 6.6  Find the rational and real zeros of a polynomial function.
EXAMPLE 3 Use zeros to write a polynomial function Write a polynomial function f of least degree that has rational coefficients, a leading coefficient.

EXAMPLE 3 Use zeros to write a polynomial function Write a polynomial function f of least degree that has rational coefficients, a leading coefficient.
EXAMPLE 2 Find all real zeros of f (x) = x 3 – 8x 2 +11x + 20. SOLUTION List the possible rational zeros. The leading coefficient is 1 and the constant.

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.
Warm Up Solve using synthetic OR long division.. 5.3 Polynomial Functions A polynomial is written in standard form when the values of the exponents are.

Warm Up Solve using synthetic OR long division Polynomial Functions A polynomial is written in standard form when the values of the exponents are.
Notes Over 6.7 Finding the Number of Solutions or Zeros

Notes Over 6.7 Finding the Number of Solutions or Zeros
9.9 The Fundamental Theorem of Algebra

9.9 The Fundamental Theorem of Algebra
 Find a polynomial with specified zeros.  For a polynomial function with integer coefficients, find the rational zeros and the other zeros, if possible.

 Find a polynomial with specified zeros.  For a polynomial function with integer coefficients, find the rational zeros and the other zeros, if possible.
6.6 The Fundamental Theorem of Algebra

6.6 The Fundamental Theorem of Algebra
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 :
Warm - Up Find the Vertex of f(x) = x 2 – 2x + 4.

Warm - Up Find the Vertex of f(x) = x 2 – 2x + 4.
Section 4.3 Zeros of Polynomials. Approximate the Zeros.

Section 4.3 Zeros of Polynomials. Approximate the Zeros.
Section 3.3 Real Zeros of Polynomial Functions. Objectives: – Use synthetic and long division – Use the Remainder and Factor Theorem – Use the Rational.

Section 3.3 Real Zeros of Polynomial Functions. Objectives: – Use synthetic and long division – Use the Remainder and Factor Theorem – Use the Rational.
Real Zeros of Polynomial Functions 2-3. Descarte’s Rule of Signs Suppose that f(x) is a polynomial and the constant term is not zero ◦The number of positive.

Real Zeros of Polynomial Functions 2-3. Descarte’s Rule of Signs Suppose that f(x) is a polynomial and the constant term is not zero ◦The number of positive.
Do Now: Find all real zeros of the function.

Do Now: Find all real zeros of the function.
Class Work Find the real zeros by factoring. P(x) = x4 – 2x3 – 8x + 16

Class Work Find the real zeros by factoring. P(x) = x4 – 2x3 – 8x + 16
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.

Similar presentations

Ads by Google