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

Slides:

Advertisements

Similar presentations

Solving Equations by Factoring

Advertisements

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.

Solving Absolute Value Equations Graphically Recall the steps used to solve an equation graphically: 1) Move all terms to the left hand side of the equation.

Day 5 Simplify each expression: Solving Quadratic Equations I can solve quadratic equations by graphing. I can solve quadratic equations by using.

Solving Quadratic Equations Tammy Wallace Varina High.

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

Quadratics – Equations and Functions A Quadratic Equation is an equation that can be written in the form Example 1: The following is an example of a quadratic.

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.

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

5.3.2 – Quadratic Equations, Finding Zeroes. Recall, we went over how to factor quadratics that are trinomials Example. Factor the expression x 2 + 7x.

Solving Quadratic Equations

Solving Quadratic Equations Pulling It All Together.

Factoring and Finding Roots of Polynomials

Solving Polynomial Equations – Graphing Method This presentation explains how to solve polynomial equations graphically. The first step is to get the polynomial.

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.

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

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.

Solving Quadratic Equations – Part 1 Methods for solving quadratic equations : 1. Taking the square root of both sides ( simple equations ) 2. Factoring.

Solving Quadratic Equations by Factoring January 6, 2015 Pages

1) What does x have to be for 3x = 0? 1) What does x have to be for 3(x -2) = 0 2) What does x have to be for (x–2) (x+3) = 0.

Example: 3x 2 + 9x + 6. Solving Quadratic Equations.

Warm Up Foil (3x+7)(x-1) Factors, Roots and Zeros.

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

To add fractions, you need a common denominator. Remember!

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

5 – 2: Solving Quadratic Equations by Factoring Objective: CA 8: Students solve and graph quadratic equations by factoring, completing the square, or using.

By: Adam Linnabery. The quadratic formula is –b+or-√b 2 -4ac 2a an example of how it is used: X 2 -4x-12=0 the coefficient of x 2 is 1 therefore the value.

11-2 Solving Quadratic Equations By Graphing

SOLVING QUADRATIC EQUATIONS Factoring Method. Warm Up Factor the following. 1. x 2 – 4x – x 2 + 2x – x 2 -28x + 48.

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

Table of Contents First get all nonzero terms on one side. Quadratic Equation: Solving by factoring Example: Solve 6x 2 – 13x = 8. 6x 2 – 13x – 8 = 0 Second.

§ 6.6 Solving Quadratic Equations by Factoring. Martin-Gay, Beginning and Intermediate Algebra, 4ed 22 Zero Factor Theorem Quadratic Equations Can be.

Solving Absolute Value Equations The absolute value of x is defined as Example 1.

Section 3.5 Polynomial and Rational Inequalities.

Section )by graphing (using the calculator to identify the roots (x-intercepts)) 2)by factoring 3)by “completing the square” 4)by Quadratic Formula:

Warm – Up # 9 Factor the following: 1.3x 2 – 2x – 5 2.4x x + 25.

Solving Quadratic Equations. Find the quadratic equation if the solutions are 3 and -2. x = 3 x = -2 Make them equal zero. x – 3 = 0x + 2 = 0 (x – 3)(x.

 I. Solutions of Quadratic Equation: x-intercepts=solving=finding roots=finding the zeros A. One Real SolutionB. Two Real Solution C. No Real Solution.

Goal: Solve quadratic equation by factoring the trinomial. Eligible Content: A

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

Algebra 1 EOC Summer School Lesson 13: Solve Quadratic Equations.

Solving Quadratic Functions by Factoring. Factoring Review.

Objective: Use factoring to solve quadratic equations. Standard(s) being met: 2.8 Algebra and Functions.

1.2 Quadratic Equations. Quadratic Equation A quadratic equation is an equation equivalent to one of the form ax² + bx + c = 0 where a, b, and c are real.

Skill Check Factor each polynomial completely.. 5-1: Solving Quadratic Equations by Factoring By Mr. Smith.

Solving Equations by Factoring.

Section 2.5 – Quadratic Equations

Warm up Factor the expression.

Equations Quadratic in form factorable equations

Solving Equations by Factoring

8-6 Solving Quadratic Equations using Factoring

Solving Systems Using Substitution

Solving Equations by Factoring.

Solving Equations by Factoring and Problem Solving

SECTION 9-3 : SOLVING QUADRATIC EQUATIONS

Equations with Variables on Both Sides Day 2

Factoring a Quadratic Expression

5.4 Factor and Solve Polynomial Equations

Solving Quadratic Equations by Factoring

Finding Solutions by graphing

Warm – Up # 9 Factor the following: 3x2 – 2x – 5 4x2 + 20x + 25.

Using Factoring To Solve

Standard Form Quadratic Equation

Solving the Quadratic Equation by Completing the Square

Equations Quadratic in form factorable equations

Example 5A: Solving Simple Rational Equations

Solving Equations Containing Trinomials

Presentation transcript:

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

Review of Factoring Method to Solve 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

Review of Graphing Method to Solve Equations 1.Move all non-zero terms to one side of the equation and simplify. 2.Put the non-zero expression into y1 on the calculator and graph. 3.Determine the x-intercepts. 4.The x-values of the x-intercepts are the solutions to the equation.

Example 2: Move all terms to left side Put the expression in for y1 and graph Solve the equation

The x-intercepts are located at (-3,0) … … and (4,0) The solutions are

Example 3: Move all terms to right side since the quadratic term is positive on that side Factor Set each factor to zero Solve each equation. Solve the equation