Table of Contents Factoring – Difference of Two Squares Factoring a Difference of Two Squares Difference (subtraction) sign Two Squares.

Slides:



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

Factoring Sums or Differences of Cubes
Distributing Fractions in Equations DAY 7 Return to table of contents.
Table of Contents Factoring - Perfect Square Trinomial A Perfect Square Trinomial is any trinomial that is the result of squaring a binomial. Binomial.
Table of Contents Factoring – Review of Basic Factoring The following is a quick review of basic factoring 1.Common Factor Example 1:
4.5 Factoring: Difference of Two Squares and Sum and Difference of Two Cubes BobsMathClass.Com Copyright © 2010 All Rights Reserved. 1 This pattern is.
Adding and Subtracting Decimals. Essential Question: How do I add and subtract decimals? Always line up decimals Add and subtract like you always do Bring.
Unit 3: Solving Equations Minds On. Unit 3: Solving Equations Solving Polynomial Equations Success Criteria for Solving Polynomial Equations:  Isolate.
FACTORING SPECIAL CASES. The vocabulary of perfect squares Perfect squares are numbers like 4, 9, 16, 25, etc. Any variable to an even power is a perfect.
Table of Contents Add & Subtract Rationals – Unlike Denominators It is assumed that you understand the material in the three previous modules: 1) Addition.
Chapter 7 Section 4. Objectives 1 Copyright © 2012, 2008, 2004 Pearson Education, Inc. Adding and Subtracting Rational Expressions Add rational expressions.
6.4 Adding and Subtracting Rational Expressions. Objective 1 Add rational expressions having the same denominator. Slide
You can't take the square root of a negative number, right? When we were young and still in Algebra I, no numbers that, when multiplied.
Transparency 5 Click the mouse button or press the Space Bar to display the answers.
Perfect Squares and Factoring
4-1 Exponents 4-1/4-2 Exponents and Integer Exponents If a number is in exponential form, the exponent represents how many times the base is to be used.
Chapter 8: Factoring.
Operations with Complex Numbers
Chapter 7 Section 4 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.
OTCQ Simplify x 3 * x 4 ÷ x 7 =. Aim 2-4 How do we add/subtract Rational Expressions With Like Denominators? Hwk: read 2-4 and do problems on page.
B. deTreville HSHS FACTORING. To check your answer to a factoring problem you simplify it by multiplying out the factors. The expression can be factored.
Factoring Rules. Binomial Look for the greatest common factor Look for a difference of squares. –This means that the two terms of the binomial are perfect.
Minds On : Factor completely: 4x 2 - 4x +1= 3x 2 +6x+9 = Determine the value of k that makes the expression a perfect square trinomial: x x +k =
How do I use Special Product Patterns to Multiply Polynomials?
Equivalent Number Sentences, Equals Sign Means Equality __ + __ = __ - __ = Addition and Subtraction 22 Patterns and Algebra 19.
Chapter 1.  Pg. 4-9  Obj: Learn how to write algebraic expressions.  Content Standard: A.SSE.1.a.
2-2 HW = Pg #12-32e, 33-38, 44-50e, 62-78e.
2-2 HW = Pg #12-50 e, HW Continued.
Table of Contents Logarithm Properties - Product Rule The Product Rule for logarithms states that... read as “the log of the product is the sum of the.
8.6 Algebra and Composition of Functions. that limit the domain of a function are: The most common rules of algebra Rule 1: You can’t divide by 0. Rule.
Mean Absolute Deviation
To factor means to write a number or expression as a product of primes. In other words, to write a number or expression as things being multiplied together.
Difference of Squares December 3, 2014 Pages 42 – 43 in Notes.
Multiplication Facts Table of Contents 0’s 1’s 2’s 3’s 4’s 5’s 6’s 7’s 8’s 9’s 10’s.
Integer Exponents. Look for a pattern in the table to extend what you know about exponents to include negative exponents. ÷ –1 10 –
Entry Task What is the polynomial function in standard form with the zeros of 0,2,-3 and -1?
8.5 Factoring Differences of Squares (top)  Factor each term  Write one set of parentheses with the factors adding and one with the factors subtracting.
Table of Contents Square Roots of a Quantity Squared An important form of a square root is: It would seem that we should write … … but as we shall see,
Square Roots of a Quantity Squared An important form of a square root is: It would seem that we should write … … but as we shall see, this is not always.
5.5 Factoring Special Patterns 12/12/12. Perfect Squares
Sometimes it is necessary to change the form of a factor to create an easier common factor. One of the tools used in this way is to factor out a negative.
Factoring – Difference of Two Squares Factoring a Difference of Two Squares Difference (subtraction) sign Two Squares.
Table of Contents Factoring – Greatest Common Factor When factoring out the greatest common factor (GCF), determine the common factor by looking at the.
Unit 1 Rational Numbers Integers.
Beginning to understand PROOF. TBAT  prove something is not true by counter-example  prove something you know.... PLTS To get stuck and be ok with it!
Real Numbers Chapter 1 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 1-1.
Table of Contents Logarithmic function - definition The logarithmic function is given by where: and Example 1: The function is a logarithmic function with.
Chapter 10, Part 2 Diamond Problems Factoring 4/13/20101Medina.
1 Math I can create equivalent expressions. Using the Distributive Property.
ADDING AND SUBTRACTING MULTIPLYING AND DIVIDING REAL NUMBERS.
Notes Over 6.3 Adding Polynomial Horizontally and Vertically Find the sum. Just combine like terms.
Unit 1.1 Test Review. 1) Which equation was used to create the table below? xy
Entry Task What is the polynomial function in standard form with the zeros of 0,2,-3 and -1?
Factoring the Sum and Difference of Cubes
Adding and Subtracting Integers (Positive and Negative Numbers)
Day 68 Multi-step equations with tables and graphs
Factoring Using Special Patterns
Multiplying and Dividing Signed Numbers
Using Rules to Subtract Integers
Lesson 2.1 How do you compare positive and negative numbers?
Operations Adding Subtracting
Adding and Subtracting Rational Expressions
Review of the Real Number System
ALGEBRA I - SECTION 8-7 (Factoring Special Cases)
Lesson #17: Adding Integers
An algebraic expression is: a group of terms that are separated by a + or – sign. Examples:

What do you think it means? Before:
8 1 7 Subtraction Facts
Presentation transcript:

Table of Contents Factoring – Difference of Two Squares Factoring a Difference of Two Squares Difference (subtraction) sign Two Squares

Table of Contents Example 1 Factor: Write as a difference of two squares Follow the pattern Note thatis an equivalent answer.

Table of Contents Example 2 Factor: Write as a difference of two squares Follow the pattern

Table of Contents Example 3 Factor: Write as a difference of two squares Follow the pattern

Table of Contents Example 4 Factor: Write as a difference of two squares Follow the pattern

Table of Contents Note that we are not done. There is still a difference of two squares. The last factor is a sum of two squares, which can’t be factored using real numbers.

Table of Contents In factoring, keep the following in mind: 1.Always factor out the Greatest Common Factor first. 2.Factor the quantity in parentheses using whatever method is called for. 3.Always look at your end result and ask, “can this be factored any more?”

Table of Contents Example 5 Factor: Write the quantity as a difference of two squares Greatest Common Factor Factor the difference of two squares

Table of Contents