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 . Factoring expressions in the form of . Box Method for Factoring. We are going to factor the expression . First draw a box and divide into quarters.. Box Method for Factoring. Now we are going to place the terms of the expression into the box.. 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’ and add to give you ‘b’. . X- Box. 20. 9. Trinomial (Quadratic Equation). 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. Factoring expressions in the form of . Box Method for Factoring. We are going to factor the expression . First draw a box and divide into quarters.. Box Method for Factoring. Now we are going to place the terms of the expression into the box.. . . Students will use the . distributive property . to . expand . algebraic expressions and they will . factor . algebraic expressions.. Factor:. a number that divides evenly into another number.. Greatest Common Factor (GCF): . b. Trinomial (Quadratic Equation). ax. 2. bx c. Fill the 2 empty sides with 2 numbers that are factors of ‘a·c’ and add to give you ‘b’. . X- Box. 20. 9. Trinomial (Quadratic Equation). Definitions. Coefficient. : the numerical factor of each term.. Constant. : the term without a variable.. Term. : a number or a product of a number and variables raised . to a power.. Polynomial. : a finite sum of terms of the form . Georgina . Hall. Princeton, . ORFE. Joint work with . Amir Ali Ahmadi. Princeton, ORFE. 1. 5/4/2016. IBM May 2016. Nonnegative and convex polynomials. A polynomial . is nonnegative if . How does . nonnegativity. 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. HW ANS: Day 3 . pg. 170-171 #’s 3,9,11,15,17,19,27,29,35,37,41 . . SWBAT: Divide Polynomials using Long Division Page 13. Do by hand. Factor First. SWBAT: Divide Polynomials using Long Division . . . (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.