Objective The student will be able to: factor quadratic trinomials. Trial and Error Method SOL: A.2c Designed by Skip Tyler, Varina High School.

Slides:

Advertisements

Similar presentations

AC Method of factoring ax2 + bx +c

Advertisements

Objectives The student will be able to: 1. find the prime factorization of a number. 2. find the greatest common factor (GCF) for a set of monomials. SOL:

Factoring Quadratic Expressions ax 2 + bx + c. 2x2x 3x3x +3 – 4 Setting the Stage Do you remember how to multiply these together? (Referred to as FOIL.

Factoring a Quadratic Trinomial Step 2: Insert the two numbers that have a product of c and a sum of b. 2 and 5 are the factors of 10 that add up to 7.

7-3 Factoring x2 + bx + c Warm Up Lesson Presentation Lesson Quiz

Objective The student will be able to: factor perfect square trinomials. SOL: A.2c Designed by Skip Tyler, Varina High School.

Factoring Trinomials of the Form x2 + bx + c

8.3 Factoring Quadratic Equations Objective The student will be able to: Factor trinomials with grouping. Solve quadratic equations using Zero Product.

Unit 5 Section 2.6 and 2.9 Factoring Trinomials x2 + bx + c MM1A2.f.

9.1 Adding and Subtracting Polynomials

1.add and subtract rational numbers. 2.compare and order rational numbers. SOL: none Objective The student will be able to: Designed by Skip Tyler, Varina.

Objective 1.Factor quadratic trinomials of the form x2 + bx + c.

Algebra B. Factoring an expression is the opposite of multiplying. a ( b + c ) ab + ac Multiplying Factoring Often: When we multiply an expression we.

11.1 – The Greatest Common Factor (GCF)

5.4 Factoring Greatest Common Factor,

Objective The student will be able to: factor trinomials with grouping. SOL: A.12 Designed by Skip Tyler, Varina High School.

9.5 Factoring Trinomials. 9.5 – Factoring Trinomials Goals / “I can…”  Factor trinomials.

Objective The student will be able to: solve systems of equations using elimination with addition and subtraction. SOL: A.9 Designed by Skip Tyler, Varina.

Objectives The student will be able to: Factor using the greatest common factor (GCF). SOL: A.2c Designed by Skip Tyler, Varina High School.

Objective The student will be able to: factor trinomials of the type ax 2 + bx + c with grouping. Designed by Skip Tyler, Varina High School.

Objective The student will be able to: factor trinomials with grouping. SOL: A.2c Designed by Skip Tyler, Varina High School; edited by Tonya Jagoe.

Factoring Trinomials Module VII, Lesson 5 Online Algebra

Factoring and Solving Polynomial Equations (Day 1)

Factoring. Objective The student will be able to: Factor trinomials with grouping and Trial & Error. MM1A2f.

Chapter 12: Factoring and Quadratic Equations 12.1 Greatest Common Factor; Factor by Grouping Objectives: 1.Find the greatest common factor of a set of.

Objectives The student will be able to: 1. add and subtract polynomials. SOL: A.2b Designed by Skip Tyler, Varina High School.

Objective The student will be able to: factor quadratic trinomials. Trial and Error Method SOL: A.2c Designed by Skip Tyler, Varina High School.

Step 1: Place x 2 term and constant into the box 2x 2 2 PROBLEM: 2x 2 + 5x + 2.

Topic 7: Polynomials.

Factoring Example 1: What is the Greatest Common Factor (GCF) of the two terms below? Example 2: Example 3:

Holt McDougal Algebra 1 Factoring x 2 + bx + c Factor quadratic trinomials of the form x 2 + bx + c. Objective.

Factoring Trinomials Chapter 10.4 Part 2. Review: Factoring Quadratic Trinomials Find the factors of the last term. Which of those factors combine to.

Objective The student will be able to: use grouping to factor polynomials with four terms. SOL: A.2c Designed by Skip Tyler, Varina High School.

Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. Section 6.3 Factoring Trinomials of the form x 2 + bx + c.

MTH Algebra Factoring Trinomials of the form ax 2 + bx + c where a = 1 Chapter 5 Section 3.

Polynomial – a monomial or sum of monomials Can now have + or – but still no division by a variable. MonomialBinomialTrinomial 13x 13x – 4 6x 2 – 5x +

4.4 Factoring Quadratic Expressions Learning Target: I can find common binomial factors of quadratic expressions. Success Criteria: I can find the factors.

Objective The student will be able to:

Algebra I Section 9.1 – 9.2 Review

Factoring Trinomials Continued

Objective The student will be able to:

ALGEBRA REVIEW PROBLEMS

Objective The student will be able to:

Objective The student will be able to:

Objectives The student will be able to:

The student will be able to:

The student will be able to:

Objective The student will be able to:

The student will be able to:

Objective The student will be able to:

Objective The student will be able to:

Objective The student will be able to:

The student will be able to:

Objectives The student will be able to:

Objective The student will be able to:

Objective The student will be able to:

Objectives The student will be able to:

Objective The student will be able to:

Objectives The student will be able to:

Objective The student will be able to:

Factoring Quadratic Trinomials Part 1 (when a=1 and special cases)

Topic 7: Polynomials.

Objective The student will be able to:

Objective The student will be able to:

The student will be able to:

Objective The student will be able to:

Objective The student will be able to:

Presentation transcript:

Objective The student will be able to: factor quadratic trinomials. Trial and Error Method SOL: A.2c Designed by Skip Tyler, Varina High School

Factoring Chart This chart will help you to determine which method of factoring to use. TypeNumber of Terms 1. GCF 2 or more 2. Grouping 4 3. Trinomials 3

Review: (y + 2)(y + 4) Multiply using FOIL or using the Box Method. Box Method: y + 4 y y 2 +4y y +8 Combine like terms. FOIL: y 2 + 4y + 2y + 8 y 2 + 6y + 8

1) Factor. y 2 + 6y + 8 Put the first and last terms into the box as shown. What are the factors of y 2 ? y and y y2y2 + 8

1) Factor. y 2 + 6y + 8 Place the factors outside the box as shown. y2y2 + 8 y y What are the factors of + 8? +1 and +8, -1 and and +4, -2 and -4

The second box works. Write the numbers on the outside of box for your solution. 1) Factor. y 2 + 6y + 8 Which box has a sum of + 6y? y2y2 + 8 y y y2y2 y y y + 8 y y + 8y+ 4y + 2y

Algebraic Method Remember: (y + 2)(y + 4) = y 2 + (2+4)x + (2*4) = y 2 + 6x + 8 You multiply to get the constant term and add to get the linear term.

2) Try one x x + 36 What do I multiply to get 36? 1 x 362 x 183 x 124 x 96 x 6 -1 x x x x -9-6 x -6 Which set of numbers adds to give me 15? Answer: (x + 3)(x + 12)

Example: Factor Find 2 numbers a and b that multiply together to get 15 and add up 8. The numbers are: Now factor using the signs of the 2 numbers before them.

Factor Find 2 numbers a and b that multiply together to get +8 and add up -6. The numbers are: Now factor using the signs of the 2 numbers before them.

Factor Find 2 numbers a and b that multiply together to get -24 and add up 2. The numbers are: Now factor using the signs of the 2 numbers before them.

Factor Find 2 numbers a and b that multiply together to get -14 and add up -5. The numbers are: Now factor using the signs of the 2 numbers before them.

Summary for the signs for factoring a trinomial: If the sign of last is + then the 2 numbers have the same sign, which is the same as the middle sign. If the sign of last is - then the 2 numbers have opposite signs with the sign of middle going with the larger (greatest absolute value)

Examples: