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Factoring Test Review
#1: Factor Completely
Answer: Guess and Check
#2: Factor Completely
#2 ANSWER AC Method
#3: Factor Completely
ANSWER: Grouping Method
#4: Factor Completely
#4: ANSWER Perfect Squares
#5: Factor Completely
#5: Answer: This is NOT the difference of perfect squares
#6: Factor Completely
#6: Answer GCF, then difference of squares
#7: Factor Completely
#7: Answer grouping, then difference of squares
#8: Factor Completely
#8: ANSWER GCF and…that’s all!!!
#9: Factor Completely
#9: Answer GCF, then guess and check
#10: Factor Completely
#10: Answer GCF, then difference of perfect squares twice!!
Warm Up Day 2 Unit 3A. Use FOIL to Simplify: 1. (x-2)(x+2) 2. (5x + 6)(5x – 6) 3. (x -3)(x+3) 4. (x-1)(x+1)
Strategies for Factoring Factor polynomials.
Multiply the following two polynomials: (x + 3)(x+3). x + 3 x2x2.
Algebra B. Two Factor out GCF Difference of Squares: Both terms square separated by minus.
5-4 Factoring Quadratic Expressions Big Idea: -Factor polynomials representing the difference of squares, perfect square trinomials, and the sum and difference.
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.
Warm Ups Term 2 Week 3. Warm Up 10/26/15 1.Add 4x 5 – 8x + 2 and 3x x – 9. Write your answer in standard form. 2.Use the Binomial Theorem to expand.
Difference of Squares Recall that, when multiplying conjugate binomials, the product is a difference of squares. E.g., (x - 7)(x + 7) = x Therefore,
Factoring trinomials ax² + bx +c a = any number besides 1 and 0.
Factoring Special Cases. Factoring by Grouping. What you’ll learn To factor perfect square trinomials and differences squares. To factor higher degree.
5.4A- Factoring & Solving Polynomials. Types of factoring 1.) Divide out largest common monomial 2.) Difference of square 3.) Perfect square trinomials.
Mixed Factoring. Steps to mixed factoring To factor a polynomial completely, you may need to use more than one factoring method. Use the steps on the.
Multiplication Facts X 3 = 2. 8 x 4 = 3. 7 x 2 =
Factoring a polynomial means expressing it as a product of other polynomials.
X-box Factoring. X- Box Product of a & c b Trinomial (Quadratic Equation) ax 2 + bx + c Fill the 2 empty sides with 2 numbers that are factors of ‘a·c’
Factoring Day 1 GCF Difference of 2 Squares factor by grouping.
Warm Up Factor out the GCF 1.-5x x x 3 +4x Factor 3. 4.
Keep in Your Notes!! list the first 15 perfect squares 1² = 2² = 3² = … Perfect squares 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225.
Factoring binomials. Difference of Two Squares Always check for a GCF Only for subtraction Each term must be a perfect square – The exponents on the variables.
FACTORING BINOMIALS Factoring Binomials (4 Possibilities) GCF (Greatest Common Factor) Difference of Squares Sum or Difference of Cubes Prime (Not Factorable)
REVIEW Fully factorize factor perfect square trinomials.
Special Cases of Factoring Chapter 5.5 Perfect Square Trinomials a 2 + 2ab + b 2 (a + b) 2 = a 2 – 2ab + b 2 (a – b) 2 =
Objective The student will be able to: factor perfect square trinomials. SOL: A.2c Designed by Skip Tyler, Varina High School.
Factoring General Trinomials Factoring Trinomials Factors of 9 are: REVIEW: 1, 93, 3.
Factoring Trinomials Using FOIL Reversed...also called guess and check.
Factoring - Difference of Squares What is a Perfect Square.
EXAMPLE 1 Finding the Greatest Common Factor Find the greatest common factor of 56 and 84. SOLUTION STEP 1 Write the prime factorization of each number.
AC Method of factoring ax 2 + bx +c E.Q. How is ax 2 + bx +c put into factored form?
Factoring Decision Tree. Expression GCF Step 1 GCF 14x + 21 = 9x – 12y = 2x 2 + 6x + 4 = 5ab a 2 b a 2 b = 7(2x + 3) 3(3x – 4y) 2(x 2 + 3x.
Factoring, Difference of Two Squares 10/22/2015 Polynomial Factoring Objective: factor a quadratic expression where the a term does not equal one. Students.
Difference of Two Perfect Squares. Factoring Difference of Two Squares 1.Both terms must be Perfect Squares and have a MINUS between them 2.Check the.
Factoring by using different methods. Factoring a quadratic without a number in front of “x 2 ”
WARM UP SOLVE USING THE QUADRATIC EQUATION, WHAT IS THE EXACT ANSWER. DON’T ROUND.
Objectives The student will be able to: Factor using the greatest common factor (GCF). SOL: A.2c Designed by Skip Tyler, Varina High School.
Special Cases of Factoring. 1. Check to see if there is a GCF. 2. Write each term as a square. 3. Write those values that are squared as the product of.
© 2007 by S - Squared, Inc. All Rights Reserved.
Algebra Core Review Day 7. Unit 15: Factoring GCF: Difference of Squares: Perfect Square Trinomial:
Special Cases of Factoring Chapter Check to see if there is a GCF. 2. Write each term as a square. 3. Write those values that are squared as the.
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.
4.4 Factoring Quadratic Expressions P Factoring : Writing an expression as a product of its factors. Greatest common factor (GCF): Common factor.
Different types of Quadratics: GCF: Trinomials: Difference of Squares: Perfect Square Trinomials: Factoring Quadratics.
Factoring Special Products Goal 1 Recognize Special Products Goal 2 Factor special products using patterns
Objective: You will learn how to determine if a number is a perfect square and how to find the square root of perfect squares.
Factoring Review Review Tying it All Together Shortcut for the Shortcuts.
Factoring Polynomials Factoring a polynomial means expressing it as a product of other polynomials.
FACTORING GCF’S, DIFFERENCES OF SQUARES, PERFECT SQUARES, AND CUBES.
Factoring 10/22/2015 Factoring Polynomials Objective: factor a quadratic expression where the a term does not equal one. Students apply basic factoring.
Factoring Differences of Squares. Remember, when factoring, we always remove the GCF (Greatest Common Factor) first. Difference of Squares has two terms.
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