Presentation is loading. Please wait.

Presentation is loading. Please wait.

Warm-up: Find the equation of a quadratic function in standard form that has a root of 2 + 3i and passes through the point (2, -27). Answer: f(x) = -3x2.

Published byLucy Burke Modified over 5 years ago

Similar presentations

Presentation on theme: "Warm-up: Find the equation of a quadratic function in standard form that has a root of 2 + 3i and passes through the point (2, -27). Answer: f(x) = -3x2."— Presentation transcript:

1 Warm-up: Find the equation of a quadratic function in standard form that has a root of 2 + 3i and passes through the point (2, -27). Answer: f(x) = -3x2 + 12x – 39

2 Topics in the Theory of Polynomial Functions
Chapter 3.7 Topics in the Theory of Polynomial Functions

3 Objectives & HW Students will be able to find the equation of a polynomial function satisfying given conditions. HW: p. 233: 2, 10, 22, 24, 28

4 Find a cubic polynomial in standard form with real coefficients, having the given zeros. Let the leading coefficient be 1. No calculator. 4 and 2+i

5 Find a function P(x) defined by a polynomial of degree 3 with real coefficients that satisfies the given conditions. No calculator. Zeros of -3, 1, and 4; P(2) = 5

6 3) Find a polynomial function P(x) of least possible degree, having real coefficients, with the given zeros. Let the leading coefficient be 1.

7 4) Find a polynomial function P(x) of least possible degree, having real coefficients, with the given zeros. Let the leading coefficient be 1.

Download ppt "Warm-up: Find the equation of a quadratic function in standard form that has a root of 2 + 3i and passes through the point (2, -27). Answer: f(x) = -3x2."

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
Rational Root Theorem.

Rational Root Theorem.
Factoring a Polynomial. Example 1: Factoring a Polynomial Completely factor x 3 + 2x 2 – 11x – 12 Use the graph or table to find at least one real root.

Factoring a Polynomial. Example 1: Factoring a Polynomial Completely factor x 3 + 2x 2 – 11x – 12 Use the graph or table to find at least one real root.
Solving Quadratic Equations Algebraically Lesson 2.2.

Solving Quadratic Equations Algebraically Lesson 2.2.
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.

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.
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.

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.
Warm up Use the Rational Root Theorem to determine the Roots of : x³ – 5x² + 8x – 6 = 0.

Warm up Use the Rational Root Theorem to determine the Roots of : x³ – 5x² + 8x – 6 = 0.
Bell Work: Find the values of all the unknowns: R T = R T T + T = 60 R = 3 R = 6 1 1 2 2 1 2 1 2.

Bell Work: Find the values of all the unknowns: R T = R T T + T = 60 R = 3 R =
1 Polynomial Functions Exploring Polynomial Functions Exploring Polynomial Functions –Examples Examples Modeling Data with Polynomial Functions Modeling.

1 Polynomial Functions Exploring Polynomial Functions Exploring Polynomial Functions –Examples Examples Modeling Data with Polynomial Functions Modeling.
Dividing Polynomials Intro - Chapter 4.1. Using Long Division Example 1: Dividing Polynomials DIVISOR DIVIDEND REMAINDER QUOTIENT.

Dividing Polynomials Intro - Chapter 4.1. Using Long Division Example 1: Dividing Polynomials DIVISOR DIVIDEND REMAINDER QUOTIENT.
Notes Over 6.7 Finding the Number of Solutions or Zeros

Notes Over 6.7 Finding the Number of Solutions or Zeros
Lesson 4-1 Polynomial Functions.

Lesson 4-1 Polynomial Functions.
9.9 The Fundamental Theorem of Algebra

9.9 The Fundamental Theorem of Algebra
7.5.1 Zeros of Polynomial Functions

7.5.1 Zeros of Polynomial Functions
Using Technology to Approximate Roots of Polynomial Equations.

Using Technology to Approximate Roots of Polynomial Equations.
General Results for Polynomial Equations In this section, we will state five general theorems about polynomial equations, some of which we have already.

General Results for Polynomial Equations In this section, we will state five general theorems about polynomial equations, some of which we have already.
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.
The Real Zeros of a Polynomial Function Obj: Apply Factor Theorem, Use Rational Zero Theorem to list roots, Apply Descartes’ Rule of Signs to determine.

The Real Zeros of a Polynomial Function Obj: Apply Factor Theorem, Use Rational Zero Theorem to list roots, Apply Descartes’ Rule of Signs to determine.
REVIEW OF UNIT 4.

REVIEW OF UNIT 4.

Similar presentations

Ads by Google