Factoring Review.

Slides:



Advertisements
Similar presentations
Factoring – Sum and Difference of Two Cubes
Advertisements

Section P5 Factoring Polynomials. Common Factors.
Copyright © 2007 Pearson Education, Inc. Slide R-1.
Factoring GCF’s, differences of squares, perfect squares, and cubes
EXPONENTS AND POLYNOMIALS College Algebra. Integral Exponents and Scientific Notation Positive and negative exponents Product rule for exponents Zero.
Factoring Special Products Factor perfect square trinomials. 2.Factor a difference of squares. 3.Factor a difference of cubes. 4.Factor a sum of.
11.1 – The Greatest Common Factor (GCF)
Perfect Square Trinomials and Difference of Perfect Squares
Factoring Polynomials
© T Madas From the numbers in the list below, find: the square numbers.
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec
Section 6.5 Factoring by Grouping and a General Strategy for Factoring Polynomials.
Sullivan Algebra and Trigonometry: Section R.5 Factoring Objectives of this Section Factor the Difference of Two Squares Factor the Sum and Difference.
Factoring. Greatest Common Factor (GCF) Grouping Trinomials – x 2 + bx + c Trinomials – ax 2 + bx + c Differences of Squares Perfect Squares Sums and.
Factoring General Trinomials Factoring Trinomials Factors of 9 are: REVIEW: 1, 93, 3.
Algebra II Factoring Strategy 1 Learning these guidelines has been directly linked to greater Algebra success!! Part1Part 2Part 3Part 4 I.Always look.
Section 6.5 Factoring by Grouping and a General Strategy for Factoring Polynomials.
Copyright © 2010 Pearson Education, Inc. All rights reserved. Special Factoring The Difference of Squares Difference of Squares x 2 – y 2 = ( x + y )(
Factoring General Trinomials Factoring Trinomials Factors of 9 are: REVIEW: 1, 93, 3.
Copyright © 2010 Pearson Education, Inc. All rights reserved. 6.5 – Slide 1.
Objective - To recognize and factor a perfect square trinomial. Find the area of the square in terms of x. Perfect Square Trinomial.
Powers and roots. Square each number a) 7 b) 12 c) 20 d) 9 e) 40 a) 49 b) 144 c) 400 d) 81 e) 1600.
Solving Polynomial Equations
Section 6.3 Special Factoring. Overview In this section we discuss factoring of special polynomials. Special polynomials have a certain number of terms.
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)
Special Factoring. Difference of Squares General Formula: (x) 2 – (y) 2 = (x + y)(x – y)
Strategies for Factoring
Factoring Polynomials. 1.Check for GCF 2.Find the GCF of all terms 3.Divide each term by GCF 4.The GCF out front 5.Remainder in parentheses Greatest Common.
EXAMPLE 1 Find a common monomial factor Factor the polynomial completely. a. x 3 + 2x 2 – 15x Factor common monomial. = x(x + 5)(x – 3 ) Factor trinomial.
Warm Up:. Factoring Polynomials Number of TermsFactoring TechniqueGeneral Pattern Any number of terms Greatest Common Factora 3 b 2 + 2ab 2 = ab 2 (a.
7.6 Polynomials and Factoring Part 2: Factoring. Factoring The process of finding polynomials whose product equals a given polynomial is called factoring.
5-4 Factoring Quadratic Expressions Big Idea: -Factor polynomials representing the difference of squares, perfect square trinomials, and the sum and difference.
Factor and Solve Polynomial Equations Homework Questions?
160 as a product of its prime factors is 2 5 x 5 Use this information to show that 160 has 12 factors.
Objective - To factor trinomials in the form,
Factoring – Sum and Difference of Two Cubes
Factoring the Sum and Difference of Cubes
Review of Factoring Unit R Lesson 2.
Section 6.4: Factoring Polynomials
Objectives Factor out the greatest common factor of a polynomial.
Section P5 Factoring Polynomials
F i v e o r m s o f a c t o r i n g For Forms 1 - 3, do the examples on your paper then use the PowerPoint to check your answers Do not do Form 4.
Chapter 7 Factoring. Chapter 7 Factoring A General Approach to Factoring 7.4 A General Approach to Factoring.
College Algebra & Trigonometry
Warm - up x2 – 24x 4x(x – 6) 2. 2x2 + 11x – 21 (2x – 3)(x + 7)
Chapter 7 Factoring.
Chapter 7 Factoring.
A Number as a Product of Prime Numbers
Objective - To factor trinomials in the form .
Objective - To factor trinomials in the form,
Factoring the Sum & Difference of Two Cubes
Basic Trinomials (All Positives)
Chapter 7 Factoring. Chapter 7 Factoring A General Approach to Factoring 7.4 A General Approach to Factoring.
Factors, multiple, primes: Types of numbers from prime factors
Special Factoring Formulas & a General Review of Factoring
Factor & Solve Polynomial Equations
Objective - To factor trinomials in the form .
Warm-up: Factor: 6(x – 4)2 + 13(x – 4) – 5
© T Madas.
Objective - To factor trinomials in the form .
Factoring the Sum & Difference of Two Cubes
Get Started!! x  , y  ______.
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.
Factoring Polynomials First: Look for a GCF 4 Second: Number of Terms 2 3 Cubes Squares Perfect Square Trinomial Grouping X 2 – 9 X 3 – 27 = (x - 3)
Objective - To factor trinomials in the form,
F i v e o r m s o f a c t o r i n g.
Factoring Polynomials, Special Cases
Factoring Polynomials
Presentation transcript:

Factoring Review

1. Factor out the greatest common factor (Similar to p.71 #6)

2. Factor out the greatest common factor

3. Factor out the greatest common factor (Similar to p.71 #8)

4. Factor by grouping (Similar to p.71 #14)

5. Factor by grouping (Similar to p.71 #12)

6. Factor each trinomial, or state that the trinomial is prime (Similar to p.71 #22)

7. Factor each trinomial, or state that the trinomial is prime (Similar to p.71 #18)

8. Factor each trinomial, or state that the trinomial is prime (Similar to p.71 #20)

9. Factor each trinomial, or state that the trinomial is prime (Example)

10. Factor each trinomial, or state that the trinomial is prime (Similar to p.71 #28)

11. Factor each trinomial, or state that the trinomial is prime (Similar to p.71 #34)

12. Factor each trinomial, or state that the trinomial is prime (Similar to p.71 #38)

13. Factor the difference of two squares (Similar to p.71 #44)

14. Factor the difference of two squares (Similar to p.71 #48)

15. Factor using the difference of two cubes: (Similar to p.71 #62)

16. Factor using the sum of two cubes: (Similar to p.71 #64)

17. Factor completely (Similar to p.71 #66)