Solving Polynomial Equations – Factoring Method A special property is needed to solve polynomial equations by the method of factoring. If a ∙ b = 0 then.

Slides:

Advertisements

Similar presentations

Solving Quadratic Equations Using the Zero Product Property

Advertisements

6.8 Solving Equations by Factoring

Linear Equations Please Read Entire Section 2.1, pages in the text.

Solving Equations by Factoring

Solving Equations In Quadratic Form There are several methods one can use to solve a quadratic equation. Sometimes we are called upon to solve an equation.

Solve an equation with variables on both sides

Roots & Zeros of Polynomials I How the roots, solutions, zeros, x-intercepts and factors of a polynomial function are related.

Table of Contents Solving Equations In Quadratic Form There are several methods one can use to solve a quadratic equation. Sometimes we are called upon.

12.1 – Simplifying Rational Expressions A rational expression is a quotient of polynomials. For any value or values of the variable that make the denominator.

1.3 Solving Equations Using a Graphing Utility; Solving Linear and Quadratic Equations.

Unit 1 Expressions, Equations and Inequalities Copyright © 2014, 2010, 2007 Pearson Education, Inc Quadratic Equations.

Table of Contents Solving Quadratic Equations – Square Root Method The square root method can be used to solve a quadratic equation that can be set up.

Solving Quadratic Equations – Square Root Method The square root method can be used to solve a quadratic equation that can be set up into the following.

5.6.1 – Square Root Method. Recall, we solved “quadratic equations” when we set a polynomial equation equal to 0 Example. x 2 + 5x + 6 = 0.

Roots & Zeros of Polynomials I How the roots, solutions, zeros, x-intercepts and factors of a polynomial function are related.

Previously, we have learned how to factor and have explored various factoring techniques. First, we studied how to find and use the GCF. Next, we looked.

Copyright © Cengage Learning. All rights reserved. Factoring Polynomials and Solving Equations by Factoring 5.

Table of Contents A Quadratic Equation is an equation that can be written in the form Solving Quadratic Equations – Factoring Method Solving quadratic.

A Quadratic Equation is an equation that can be written in the form Solving Quadratic Equations – Factoring Method Solving quadratic equations by the factoring.

Review of Definitions.

The Multiplication Principle of Equality

Section 2.1 Solving Equations Using Properties of Equality.

Solving Equations by Factoring Definition of Quadratic Equations Zero-Factor Property Strategy for Solving Quadratics.

An equation in the form … … can be solved using two methods discussed previously. Solving Equations Containing Trinomials 1.Factoring Method 2.Graphing.

5-5 Solving Quadratic Equations Objectives:  Solve quadratic equations.

Do Now 3x – 6y = -3 2x + 4y = 30.

Practice 2.2 Solving Two Step Equations.

2.1 Solving One Step Equations. Addition Property of Equality For every real number a, b, and c, if a = b, then a + c = b + c. Example 8 = For every.

Solving equations with polynomials – part 2. n² -7n -30 = 0 ( )( )n n 1 · 30 2 · 15 3 · 10 5 · n + 3 = 0 n – 10 = n = -3n = 10 =

Math – The Multiplication/Division Principle of Equality 1.

Table of Contents Solving Polynomial Equations – Factoring Method A special property is needed to solve polynomial equations by the method of factoring.

Solving Logarithmic Equations

An exponential equation is one in which a variable occurs in the exponent. An exponential equation in which each side can be expressed in terms of the.

Lesson 2-1: More on Solving Equations

Solving Quadratic Equations Using the Zero Product Property March 18, 2014.

Factoring Unit – Day 7 Solving Polynomial Equations Mrs. Parziale.

Solving equations with variable on both sides Part 1.

11.3 Solving Radical Equations Definitions & Rules Simplifying Radicals Practice Problems.

Simplify Radical Expressions Using Properties of Radicals.

Objective  SWBAT solve polynomial equations. Section 9.4 “Solve Polynomial Equations in Factored Form” If ab = 0, then a = 0 or b = 0. The zero-product.

Polynomials. What are polynomials? Polynomials are expressions of more than two algebraic terms, especially the sum of several terms that contain different.

Solving Equations by Factoring.

Section 2.5 – Quadratic Equations

Solving Equations by Factoring

Solving Multistep Equations

Solving Equations by Factoring.

Solving Equations by Factoring and Problem Solving

5.5 Completing the Square.

Solving Equations with the Variable on Both Sides

Solving Systems using Substitution

Simplify Expressions 34 A number divided by 3 is 7. n ÷ 3 = 7.

2.6 Factor x2 + bx + c provided ________ = b and ______ = c

Sec. 1.4 Quadratic Equations.

Solving Polynomial Equations

2 Understanding Variables and Solving Equations.

2 Understanding Variables and Solving Equations.

Factor Special Products

Using Factoring To Solve

Standard Form Quadratic Equation

2.6 Factor x2 + bx + c provided ________ = b and ______ = c

Solving Equations with Variables on Both Sides

Solving Equations with Variables on Both Sides

Objective Solve equations in one variable that contain more than one operation.

Applications of Factoring and Advanced Factoring Techniques

Objective Solve equations in one variable that contain more than one operation.

6.8 Solving Equations by Factoring

Expressions & Equations Jeopardy

Solving Equations Containing Trinomials

Objective SWBAT solve polynomial equations in factored form.

STATE STANDARDS S.P.I Apply properties to evaluate expressions, simplify expressions, and justify solutions to problems. S.P.I Write.

Presentation transcript:

Solving Polynomial Equations – Factoring Method A special property is needed to solve polynomial equations by the method of factoring. If a ∙ b = 0 then a = 0 or b = 0. Principle of Zero Products In words, if the product of two quantities is zero, then at least one of the factors must be zero.

Factoring Method to Solve Polynomial Equations 1.Move all non-zero terms to one side of the equation and simplify. 2.Factor the polynomial expression. 3.Set each factor containing a variable equal to zero. 4.Solve the resulting equations.

Example 1: Move all terms to left side Factor Set each factor to zero Solve each equation. Solve the equation

Example 2: Move all terms to right side since the leading term is positive on that side Factor Set each factor to zero Solve each equation. Solve the equation