We think you have liked this presentation. If you wish to download it, please recommend it to your friends in any social system. Share buttons are a little bit lower. Thank you!
Presentation is loading. Please wait.
Published byAriana Lawson
Modified over 3 years ago
When multiplying polynomials, we always use the Distributive Property.
-x (4x 2 + x - 8) + 7 (4x 2 + x - 8). -4x 3 – x 2 + 8x + 28x 2 + 7x - 56 Combine like terms. -4x x x - 56
x (-4x 2 + 5x - 2) - 3 (-4x 2 + 5x - 2). -4x 3 + 5x 2 - 2x + 12x x + 6 Combine like terms. -4x x x + 6
SHORTCUT A SHORTCUT of the distributive property is called the FOIL method.
6x 2 FOIL First
FOIL 6x 2 - 8x Outer
FOIL First Outer Inner 6x 2 - 8x + 3x
Combine like terms. 6x 2 - 5x - 4 FOIL First 6x 2 - 8x + 3x - 4 Outer Inner Last
F irst terms O uter terms I nner terms L ast terms
F O I L 5x(3x) + 5x(-2) + 2(3x) + 2(-2). 15x 2 – 10x + 6x - 4 Combine like terms. 15x 2 – 4x - 4
F O I L 2x 2 + 7x – 8x – 28 Combine like terms. 2x 2 – x – 28
F O I L 2x 2 – 18x + 3x – 27 Combine like terms. 2x 2 – 15x – 27
(x + 3) (2x – 7) = 2x 2 – 7x + 6x – 21 Combine like terms. 2x 2 - x - 21 (2x-7)
Write a polynomial that represents the area of the shaded region: (x+6)
MULTIPLYING BINOMIALS. Solve the following problems using the distributive property. x ( ) = ( 2x + 3 ) x = 3x + 7x 10x 3x + 7x 10x 2x 2 + 3x.
Objective The student will be able to: multiply two polynomials using the FOIL method, Box method and the distributive property. Designed by Skip Tyler,
6.4 M ULTIPLYING P OLYNOMIALS Sec Copyright © 2010 Pearson Education, Inc. All rights reserved. Multiplying Monomials We multiply polynomials by.
5.9 Multiplication of Monomials and Binomials How to Multiply a Mono by a Poly: Distribute the monomial by the polynomial.
Objective The student will be able to: multiply two polynomials using the FOIL method, Box method and the distributive property.
5.4 Multiplying Polynomials Objective: Multiply monomials by binomials and trinomials. Learn to use the F.O.I.L. method.
ADD & SUBTRACT POLYNOMIALS. 1. Add the following polynomials: (9y - 7x + 15a) + (-3y + 8x - 8a) Group your like terms. 9y - 3y - 7x + 8x + 15a - 8a 6y.
Mrs. Reynolds 2/19/14. When multiplying two binomials, you can use the FOIL Method. FOIL is a series of four steps using the Distributive Property.
Essential Question. Daily Standard & Essential Question MM1A2c:Add, subtract, multiply, and divide polynomials MM1A2g: use area and volume models for.
C HAPTER 10 – P OLYNOMIALS AND FACTORING 10.2 – Multiplying Polynomials.
Do Now: 1. 2x 3 x 3 = ________ 2. 2x 3 3x 2 = ________ 3. 2x 3 (-2x) = ________ 4. 2x 3 5 = ________.
MULTIPLYING MONOMIALS TIMES POLYNOMIALS (DISTRIBUTIVE PROPERTY)
Objective: To be able to find the product of two binomials. Objective: To be able to find the product of two binomials. 8.7 Multiplying Polynomials Part.
Topic: Multiplying Polynomials Essential Questions: How can you use the distributive property to solve for multiplying polynomials? 1.Basic Distributive.
Multiplying Polynomials This PowerPoint will show you two methods that will multiply polynomials Brandon Young.
5.9 Multiplication of Monomials and Binomials Goals: 1.To multiply a monomial and a poly 2.To multiply 2 binomials (FOIL)
Reducing Fractions. Factor A number that is multiplied by another number to find a product. Factors of 24 are (1,2, 3, 4, 6, 8, 12, 24).
Objective The student will be able to: multiply two polynomials using the FOIL method, Box method and the distributive property. SOL: A.2b Designed by.
Multiplying Polynomials MATH 017 Intermediate Algebra S. Rook.
Multiply Binomials (ax + b)(cx +d) (ax + by)(cx +dy)
Lesson 10.2 Multiplying Polynomials Objective: To multiply polynomials Multiply monomials by other polynomials by using distributive property Examples.
Simplify the expression. 1.(–3x 3 )(5x) ANSWER –15x 4 ANSWER –9x–9x 2. 9x – 18x 3. 10y 2 + 7y – 8y 2 – 1 ANSWER 2y 2 + 7y – 1.
Lesson 7-7 Multiplying Polynomials p FOIL There are two methods that can be used to multiply polynomials The first is called FOIL. FOIL Stands for:
Multiplication Facts Review. 6 x 4 = 24 5 x 5 = 25.
Multiplying Polynomials with FOIL Objective: Students will multiply two binomials using the FOIL method. S. Calahan March 2008.
Copyright © 2013, 2009, 2006 Pearson Education, Inc. 1 Section 5.3 Special Products Copyright © 2013, 2009, 2006 Pearson Education, Inc. 1.
Day Problems Simplify each product. 1. 8m(m + 6)2. -2x(6x 3 – x 2 + 5x) Find the GCF of the terms of each polynomial. 3.15w b b – 30 Factor.
EXAMPLE 3 Multiply polynomials vertically Find the product (b 2 + 6b – 7)(3b – 4). SOLUTION STEP 1 Multiply by – 4. b 2 + 6b – 7 – 4b 2 – 24b b –
Multiply two binomials using FOIL method To multiply two binomials, find the sum of the products of F the first terms O the Outer terms I the Inner terms.
Review Operations with Polynomials December 9, 2010.
1 Find the product (3x + 1)(x + 4) using algebra tiles. Multiplying Binomials 12.4 LESSON Investigate Represent each binomial using algebra tiles. Arrange.
Copyright © 2014, 2010, 2006 Pearson Education, Inc. Section 5.3 Slide 1 Exponents and Polynomials 5.
Bell Work 11/22. Homework Due 11/25 Exponents & Exponential Functions Page 82 #1-28 all.
Lesson 8-7 Multiplying Polynomials. FOIL Method- F = the First terms O = the Outer terms I = the Inner terms L = the Last terms (x + 3) (x - 2)
8.7 Multiplying Polynomials p.. The FOIL method is ONLY used when you multiply 2 binomials. F irst terms O utside terms I nside terms L ast terms.
Objective - To multiply polynomials. Multiply the polynomial by the monomial. 1) 3(x + 4) 2) 3) Distributive Property.
Warm Up Simplify each expression: 1.(-4) (5x) 2 5x 1 4.-(-4.9) 0 5.[(3x 4 y 7 z 12 ) 5 (–5x 9 y 3 z 4 ) 2 ] 0.
The third method is the Box Method. This method works for every problem! Here’s how you do it. Multiply (3x – 5)(5x + 2) Draw a box. Write a polynomial.
POLYNOMIALS INTRODUCTION. What does each prefix mean? mono one bi two tri three.
Copyright © 2010 Pearson Education, Inc. All rights reserved. 5.3 – Slide 1.
MATH JOURNAL ENTRY SOLVE THIS PROBLEM (6x 2 + 4x - 9) + ( 12x 2 + 9x - 13) TELL WHETHER YOU PERFER TO GROUP TERMS OR USE THE COLUMN METHOD TO ADD OR SUBTRACT.
WEEK 1 You have 10 seconds to name…
There are three techniques you can use for multiplying polynomials. The best part about it is that they are all the same! Huh? Whaddaya mean? It’s all.
Objective The student will be able to: multiply special binomials.
Multiplying Polynomials Use the distributive property, and remember your properties for exponents. 5x (4x 2 + 3x) = 20x x 2 Section 10.2.
FACTORING Think unfoil Work down, Show all steps ax 2 + bx + c.
Fractions VI Simplifying Fractions By Monica Yuskaitis.
Objectives The student will be able to: 1. multiply a monomial and a polynomial. SOL: A.2b Designed by Skip Tyler, Varina High School.
© 2017 SlidePlayer.com Inc. All rights reserved.