Warm-Up ***Multiply.

Slides:

Advertisements

Similar presentations

Warm - up x2 – 24x 4x(x – 6) 2. 2x2 + 11x – 21 (2x – 3)(x + 7)

Advertisements

Bell Problem Perform the indicated operation. (x -5)(x2 – 5x + 7)

Special Products Section 6.4. Find the product. (x + 2)(x + 2) (x + 3)(x + 3)

Special Factoring Formulas

Factoring GCF and Binomials

Factoring Special Products Factor perfect square trinomials. 2.Factor a difference of squares. 3.Factor a difference of cubes. 4.Factor a sum of.

Warm-up Find the quotient Section 6-4: Solving Polynomial Equations by Factoring Goal 1.03: Operate with algebraic expressions (polynomial,

Chapter 6 – Polynomials and Polynomial Functions

Review: Factoring. Factors Remember that “factors” of a number are the numbers that can be multiplied to get that number. Factors of 20 are 1 and 20,

Quiz Use Synthetic Substitution to evaluate: 3.What is the “end behavior” for: 2. Simplify When x = 2 In other words:

Factoring Unit – Day 6 Difference/Sum of Cubes Mrs. Parziale.

Warm ups. Return Quizzes Let’s go over them!! 9-8 Special Products Objective: To identify and expand the three special products.

Objective: 6.4 Factoring and Solving Polynomial Equations 1 5 Minute Check  Simplify the expression

6.3 Adding, Subtracting, & Multiplying Polynomials p. 338.

Multiplying Special Cases

factoring special products Formulas to memorize!

5.4 Factor and Solve Polynomial Equations. Find a Common Monomial Factor Monomial: means one term. (ex) x (ex) x 2 (ex) 4x 3 Factor the Polynomial completely.

Warm-Up #2 Multiply these polynomials. 1) (x-5) 2 2) (8x-1) 2 3. (4x- 3y)(3x +4y) Homework: P5 (1,3,5,11,13,17,27,33,41, 45,49,55,59,63,71,73,77) Answers:

6.4 Solving Polynomial Equations. One of the topics in this section is finding the cube or cube root of a number. A cubed number is the solution when.

WARM UP SOLVE USING THE QUADRATIC EQUATION, WHAT IS THE EXACT ANSWER. DON’T ROUND.

Warm - up Factor: 1. 4x 2 – 24x4x(x – 6) 2. 2x x – 21 (2x – 3)(x + 7) 3. 4x 2 – 36x + 81 (2x – 9) 2 Solve: 4. x x + 25 = 0x = x 2 +

FFF FFF i v e o r m s o f a c t o r i n g 1.Greatest Common Factor (GCF) Ex 1 10x 2 y 3 z - 8x 4 y 2 2x 2 y 2 (5yz - 4x 2 ) Ex 2 15a 2 b 5 + 5ab 2 -

Tuesday, July 1 Special Factoring. Difference of Squares Example: m 2 – 64 (m) 2 – (8) 2 (m + 8)(m – 8)

Copyright © 2014, 2010, and 2006 Pearson Education, Inc. 5-1 Copyright © 2014, 2010, and 2006 Pearson Education, Inc. Chapter 5 Polynomials and Factoring.

Special Factoring. Difference of Squares General Formula: (x) 2 – (y) 2 = (x + y)(x – y)

The #’s 1, 4, 9, 16, 25.…are called. The #’s 1, 4, 9, 16, 25.…are called perfect squares / square numbers.

Warm Up:. Factoring Polynomials Number of TermsFactoring TechniqueGeneral Pattern Any number of terms Greatest Common Factora 3 b 2 + 2ab 2 = ab 2 (a.

5.5 Factoring Special Patterns 12/12/12. Perfect Squares

5.5 Factoring Special Patterns 11/20/2013. Perfect Squares

Warm-Up The variables x and y vary inversely. Use the given values to write an equation relating x and y. Then find y when x=2: x = 4, y = 3 x = 8, y.

Warm ups. Return Quizzes Let’s go over them!! 9-8 Special Products Objective: To identify and expand the three special products.

Objective: I can factor a perfect cube and solve an equation with a perfect cube Warm Up 1.Determine if x – 2 is a factor of x³ - 6x² Use long division.

Over Lesson 8–3. Splash Screen Special Products Lesson 8-4.

6 – 3 Adding, Subtracting and Multiplying Polynomials Day 1 Objective: Add, subtract, and multiply polynomials.

Difference of Squares Recall that, when multiplying conjugate binomials, the product is a difference of squares. E.g., (x - 7)(x + 7) = x Therefore,

6.3 Adding, Subtracting, & Multiplying Polynomials p. 338 What are the two ways that you can add, subtract or multiply polynomials? Name three special.

Difference of Squares Recall that, when multiplying conjugate binomials, the product is a difference of squares. E.g., (x - 7)(x + 7) = x Therefore,

5.3 Notes – Add, Subtract, & Multiply Polynomials.

5.3C- Special Patterns for Multiplying Binomials SUM AND DIFFERENCE (a+b)(a-b) = a² - b² (x +2)(x – 2) = x² -4 “O & I” cancel out of FOIL SQUARE OF A BINOMIAL.

Section 6.4: Factoring Polynomials

Warm Up 1.) What is the factored form of 2x2 + 9x + 10? 2.) What is the factored form of 6x2 – 23x – 4?

Algebra II with Trigonometry Mrs. Stacey

4.4 Notes: Factoring Polynomials

Warm Up Factor each expression. 1. 3x – 6y 3(x – 2y) 2. a2 – b2

Do Now: Factor the polynomial. (5.4 worksheet B)

8-4 Special Products of Polynomials

Warm - up x2 – 24x 4x(x – 6) 2. 2x2 + 11x – 21 (2x – 3)(x + 7)

A Number as a Product of Prime Numbers

Multiply together.

Factor. x2 – 10x x2 – 16x + 1 Multiply. 3. (4x- 3y)(3x +4y)

Special Factoring Formulas & a General Review of Factoring

AA Notes 4.3: Factoring Sums & Differences of Cubes

AA-Block Notes 4.4: Factoring Sums & Differences of Cubes

Factor & Solve Polynomial Equations

Commutative Properties

7.3 Products and Factors of Polynomials

Homework Questions.

Use synthetic substitution to evaluate

Warm-up: Factor: 6(x – 4)2 + 13(x – 4) – 5

Warm Up Factor the following: a) b).

5.3 Add, Subtract, and Multiply Polynomials

X values y values. x values y values Domain Range.

SECTION 8-4 – MULTIPLYING SPECIAL CASES

Algebra 1 Section 9.5.

Algebra II with Trigonometry Mr. Agnew

Review: 6.4c Mini-Quiz 1. Determine whether is a perfect square trinomial. If so, factor it. 2. Determine whether is a perfect square trinomial. If.

Do on New WS 9-5 Day 3 (with rads) Factor Solve

Factoring Cubes and Factoring by Grouping

Factoring Polynomials, Special Cases

Presentation transcript:

Warm-Up ***Multiply

Homework Questions

Difference of Squares All things Cubes More Factoring Difference of Squares All things Cubes

Difference of Squares a2 - b2 (a – b) (a + b) Example: x² - 64 = ( ) ( )

The Difference of Two Squares ( ) ( ) ( ) ( )

The Difference of Two Squares ( ) ( ) 100x² - 81 ( ) ( )

Sum and Differences of Cubes a³ + b³ = (a + b)(a² - ab + b²) a³ - b³ = (a – b) (a² + ab + b²) Ex: x³ - 125

Factoring Cubes x³ - 8 = ( ) ( ) 8x³ - 1 = ( ) ( )

Factoring Cubes 64x³ + 125 = ( ) ( ) 27x³ - 8 = ( ) ( )

More Cubes

Homework Squares and Cubes Factoring WS Go over Quiz if we have time…

Quiz Questions

What habits do we need to change?