PPT-3-4 Factoring Polynomials

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 . Suppose n pvu pw x8 py y8sWritten inthisformqitsdi culttoseewhattherootsof naresButafterbeing completelyfactoredq n wm pwnm xnm ynm pvnsTherootsof 131 brPage 3br thispolynomialcanbereadfromthemoniclinearfactorsvTheyare 2t3t and4v pNoticethat q 2p s2 POLYNOMIALS. Ryann. Kramer. EDU 521.02. Prof. R. . Moroney. Summer 2010. Introduction. Factoring is an important, yet difficult concept to grasp and is a building block to many other . units in mathematics. . Goal: To simplify polynomial expressions by adding or subtracting. Standard: . 9.2.3.2 – Add, subtract and multiply polynomials; divide a polynomial by a polynomial of equal or lower degree.. Guiding Question: How do I simplify polynomials expressions? AND how do I add or subtract polynomials expressions?. Chapter 6. Polynomial Functions. Polynomial Functions. A polynomial is a monomial or the sum of monomials.. A Polynomial Function:. P(x) = . a. n. x. n. + a. n-1. x. n-1 . + … + a. 1. x + a. 0. Where n is a nonnegative integer and the coefficients a. 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. ARC INSTRUCTIONAL VIDEO. MAT 120. COLLEGE ALGEBRA. Factors. When an integer is written as . a product . of integers, each of the integers in the product is a . factor . of the original . number. Factoring. 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. 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. Lesson Objective: NCSCOS 1.01 – Write the equivalent forms of algebraic expressions to solve problems. Students will know the terms for polynomials.. Students will know how to arrange polynomials in ascending and descending order.. 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. Review of Factoring. 2. nd. Degree Polynomials. x. 2. 9x 20 . = (x 5)(x 4). . x. 2. - 11x 30. = (x-6)(x-5). . 3x. 2. 20x 12. . = (3x 2)(x 6) . Factoring of higher-degree polynomials. . . (Common Factors, Leading Coefficient =1,. . Difference Between Squares, and. Perfect Square Trinomials). Common Factor. Factoring Trinomials . With Leading Coefficient=1. 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.