PPT-Factoring Perfect Square Trinomials and the Difference of S

Special Products Perfect Square Trinomial Solve Notice that if you take ½ of the middle number and square it you get the last number 6 divided by 2 is 3 and 3 2 is 9 When this happens you have a special product. Perfect Square Trinomials. Examples. x. 2. + 6x + 9. x. 2. - 10x + 25. x. 2. + 12x + 36. Creating a Perfect . Square Trinomial. X. 2. . + 14x + ____ . Find the constant term by squaring half . 7.7 Solving Quadratic Equations by Factoring. Checklist for factoring polynomials of any type.. 1. If the polynomial has a greatest common factor other than 1, factor out this GCF. 2. If the polynomial has two terms (binomial), check to see if it is a difference of two squares or sum/difference of two cubes and factor accordingly, if it is a sum of squares it will not factor. Algebra II with Trigonometry. Essential Stuff. Essential Question. How do you factor expressions?. Essential Vocabulary. Factor. Quadratic Expression. Trinomial. What is Factoring?. Rewriting an expression as the product of its factors. Perfect Square Trinomials & Differences of Squares. Review: The Perfect Square Trinomial Rules. (. A. + . B. ). 2. = . A. 2. + 2. A. B. + . B. 2. (. A. – . B. ) . 2. = . A. 2. – 2. A. This chart will help you to determine which method of factoring to use.. . Type. . Number of Terms. 1. GCF 2 or more. Difference of Squares 2. Trinomials 3. Get Homework out FIRST! Then, begin warm-up. . Brain blitz/ warm-up. Use . repeated multiplication . in order to write out the . meaning. of . the . below . exponents:. 8. 3. = ____________________________________________. By Kyle Muldrow. Overview. General Description. Review of Flowcharts and Flowchart Symbols. The Factoring Flowchart. Greatest Common Factor. Factoring Polynomials with two terms. Factoring Polynomials with four terms. 4. 3. 2. 1. 0. In addition to level 3.0 and above and beyond what was taught in class, students may:. - Make connection with other concepts in math. - Make connection with other content areas..  . In preparation for the Algebra CST. -b . . b. 2. – 4ac. 2ac. √. (x 4)(x-3)=0. (x 1)(x 2). X. 2. – 5x 4. F O I L. Complete. The Square. Multiplying Polynomials. Area Model of Multiplication. You have learned three methods for solving equations of the form. When . , you can solve by using the square root property. For example: . If the expression . is factorable, then you can use the Product Property of Zero. . . (Common Factors, Leading Coefficient =1,. . Difference Between Squares, and. Perfect Square Trinomials). Common Factor. Factoring Trinomials . With Leading Coefficient=1. x + 3. )(. x + 2. ). x • x + x • 2 + 3 • x + 3 • 2. Multiplying Binomials (FOIL). F. O. I. L. = . x. 2 . + . 2x + 3x + 6. = . x. 2 . + . 5x + 6. Distribute. .. Again, we will . factor. trinomials such as . FACTORING COMPLETELY. A factorable polynomial with integer coefficients is factored completely when it is written as a product of . unfactorable. polynomials with integer coefficients. . Finding a common monomial factor. Holt Algebra 2. Warm Up. Lesson Presentation. Lesson Quiz. Holt McDougal Algebra 2. Warm Up. Factor each expression.. 1. . 3. x. – 6. y. 2. . a. 2. – . b. 2. . 3. . (. x. – 1)(. x. + 3). 4. .