Overcoming Obstacles in Factoring

Slides:

Advertisements

Similar presentations

Basic Factoring of Polynomials

Advertisements

7-3 Solving Equations Using Quadratic Techniques

Solving Quadratic Equations Algebraically Lesson 2.2.

Role of Zero in Factoring

Eureka Math Algebra 2 Module 1 Lesson 19

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

CA STANDARDS 20.0: Students use the quadratic formula to find the roots of a second-degree polynomial and to solve quadratic equations. Agenda 1.) Lesson.

6.6 The Fundamental Theorem of Algebra

Factoring Special Products

Solving Quadratic Equations by Factoring MATH 018 Combined Algebra S. Rook.

Creating and Solving Quadratic Equations in One Variable Eureka Math Algebra 1 Module 3 Lesson 7.

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.

Solve each equation. 1. 3b + 8 = –102. –12 = –3x – 9 3. – + 7 = 144. –x – 13 = 35 c4c4 –6 1 –28 –48 Math on the Mind.

Factoring to Solve Quadratic Equations

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

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

The Multiplication of Polynomials Algebra 2 Module 1 Lesson 2.

WARM UP EVALUATING EXPRESSIONS Evaluate the expression for the given value of the variable (Lesson 2.5). 1.-3(x) when x = 9 2.4(-6)(m) when m = (-n)(-n)

CPM Section 9.4A Quadratic Formula. Thus far we have considered two methods for solving quadratic function- factoring and using the square root property.

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

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?

Factoring Polynomials

TODAY IN ALGEBRA 2.0…  Warm Up: Zeros in Factored Form  Learning Goal 1: 4.4 You will solve quadratics in factored form.  Independent Practice.

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.

Solving a Trigonometric Equation Find the general solution of the equation.

Factoring by Grouping ALGEBRA 1 LESSON 9-8 (For help, go to Lessons 9-2 and 9-3.) Find the GCF of the terms of each polynomial. 1.6y y – 42.9r 3.

Solve by factoring. x² = - 4 – 5x 2,. Solve by factoring. n² = -30 – 11n -4 and -1.

Warm – up #1 Hw:pg 301 # 12-15, 21, 23, ODD (skip 45)

2.1 – Linear and Quadratic Equations Linear Equations.

Multiplying and Factoring Polynomial Expressions

The Zero Product Property

Notes Over 5.6 Quadratic Formula

Sample Problems for Class Review

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

Math I UNIT QUESTION: What do solutions of equations represent? Standard: MM1A3 Today’s Question: How do we solve quadratic equations algebraically?

Ch. 6.4 Solving Polynomial Equations. Sum and Difference of Cubes.

Warm Up: 1.  2 Finding Rational Zeros (Day 1) 3.

Title: ch. 6 Algebra: quadratic equations. Learning Objective: WALT solve quadratic equations by using the quadratic formula. p.143.

Algebra 3 Lesson 2.6 Objective: SSBAT solve quadratic equations. Standards: M11.D

Factoring & Solving Quadratics Equations Intermediate Algebra Final Exam Review.

Warm-Up Solve each equation by factoring. 1) x x + 36 = 02) 2x 2 + 5x = 12.

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

2.2 Solving Quadratic Equations Algebraically Quadratic Equation: Equation written in the form ax 2 + bx + c = 0 ( where a ≠ 0). Zero Product Property:

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

Basic Factoring of Polynomials

Lesson 5.6: The Quadratic Formula & the Discriminant

Introduction to Factoring

10.4 Solving Factored Polynomial Equations

Bellwork 1) 2) 3) 4) 5) 27 plus some number is 6. What is the number?

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.

Solve Quadratic Equations by the Quadratic Formula

3.3: The Quadratic Formula

Sullivan Algebra and Trigonometry: Section 1.3

A quadratic equation is written in the Standard Form,

Unit 7 Day 4 the Quadratic Formula.

4.8 Use the Quadratic Formula & the Discriminant

1. Use the quadratic formula to find all real zeros of the second-degree polynomial

Sec. 1.4 Quadratic Equations.

Factoring to Solve Quadratic Equations

5.4 Factor and Solve Polynomial Equations

Solving Quadratic Equations by Factoring

Section 9.5 Day 1 Solving Quadratic Equations by using the Quadratic Formula Algebra 1.

Quadratic Equations.

Warm Up The area of a rectangle is expressed by the polynomial

Warm Up Use long division to find (6

Lesson 5.6 Solving Quadratic Equations Using Factoring

Lesson 7.3 Using the Quadratic Formula

9-5 Factoring to Solve Quadratic Equations

Equations Chapter 7.1.

Presentation transcript:

Overcoming Obstacles in Factoring Eureka Math Algebra 2 Module 1 Lesson 12

Objectives Students factor certain forms of polynomial expressions by using the structure of the polynomials. Standards A-SSE.A.2 A-APR.B.3

Using the zero product property This quadratic expression is not factorable. We can use the quadratic formula to find the zeros. The solutions for the first quadratic are

Now to solve for the second quadratic expression Now to solve for the second quadratic expression. Can’t factor, we will use the quadratic formula. The solutions are

Factor by grouping Look for the greatest common factor from each pair of parenthesis Notice that (x+3) is a common factor in each of the parenthesis