1.(-7) (-2) 2.(3)(-6) 3.(4)(5) 4.(-3) (4t) 5.(2)(-2x) 6.(7y)(3) 7.3(s+5) 8.4(-n+2) 9.4-(t+2) 10.3n+(2-n)

Slides:

Advertisements

Similar presentations

Multiplying Polynomials Be able to use different methods to multiply two polynomials.

Advertisements

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.

Multiplication of Polynomials.  Use the Distributive Property when indicated.  Remember: when multiplying 2 powers that have like bases, we ADD their.

5.4 Special Products. The FOIL Method When multiplying 2 binomials, the distributive property can be easily remembered as the FOIL method. F – product.

1 8-7 Multiplying Polynomials This presentation was created following the Fair Use Guidelines for Educational Multimedia. Certain materials are included.

8.3 Multiplying Binomials

EXAMPLE 1 Multiply a monomial and a polynomial Find the product 2x 3 (x 3 + 3x 2 – 2x + 5). 2x 3 (x 3 + 3x 2 – 2x + 5) Write product. = 2x 3 (x 3 ) + 2x.

© William James Calhoun, : Multiplying Polynomials OBJECTIVES: The student will (1) use the FOIL method to multiply two binomials, and (2) multiply.

Multiplying Polynomials; Special Products Multiply a polynomial by a monomial. 2.Multiply binomials. 3. Multiply polynomials. 4.Determine the product.

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.

Review Operations with Polynomials December 9, 2010.

Multiplying Polynomials

Warm-up Answer the following questions 1.Did you have a good night? 2.What 2 numbers multiplied together = 30 AND if added, together = 11? 3.Fill in the.

1.Multiply a polynomial by a monomial. 2.Multiply a polynomial by a polynomial.

Homework Section 9.1: 1) pg , 19-27, ) WB pg 47 all Section 9.2: 1) pg all 2) WB pg 48 all 3) Worksheet Section 9.3: 1) pg 441.

Warm up. FOIL Definition: Polynomial Special Names.

Multiplying Polynomials *You must know how to multiply before you can factor!”

Aim: How do we multiply polynomials? Do Now: Multiply the following 1. 2x(3x + 1) 2. (x – 1)(x + 2) 3. (x +2)(x 2 – 3x + 1)

Day Problems Simplify each product. 1. 8m(m + 6) 2. -2x(6x3 – x2 + 5x)

Multiplying Polynomials Module VII, Lesson 3 Online Algebra

Warm Up Week 1 1) 2( x + 4 ) 2x 2 = 50 2x + 8 x = ±5 2)

Ch 10: Polynomials B) Multiplying Objective: To multiply polynomials using various techniques.

2.2 Warm Up Find the sum or difference. 1. (2x – 3 + 8x²) + (5x + 3 – 8x²) 2. (x³ - 5x² - 4x) – (4x³ - 3x² + 2x – 8) 3. (x – 4) – (5x³ - 2x² + 3x – 11)

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)

Section 7.3 Multiply a Monomial by a Polynomial We will be learning how to multiply a monomial (one term) by a polynomial (more than one term.

FOIL: Sometimes there is no pattern (x+3)(2x-1) (3x-1)(x-2)

Simplify by combining like terms: 1. (5x 3 – 3x) + (8x 3 + 4x) = 2. (4y 3 + 8xy) – (3xy + 9y 3 )= 3. (5x 3 – 2y 3 ) – (5y 3 + 6x 3 )= 13x 3 + x -5y 3 +

EXAMPLE 3 Multiply polynomials vertically

Learning Goals: I can add and subtract polynomials I can multiply polynomials Unit 3: Rational Expressions Lesson 2 – Working with Polynomials.

Notes Rev.3 Multiply Polynomials Distributive Property FOIL Boxes Square Binomials Mentally.

8.3 Multiplying Binomials Objective: to multiply two binomials or a binomial by a trinomial.

+ FOIL – Multiplying Polynomials. + Warm – Up!! Good Morning! Please pick up your calculator as you walk in! Use the BOX method to multiply the following.

Quadratic Relations Polynomials Day 2: Multiplying Binomials.

§ 5.4 Special Products. Martin-Gay, Beginning and Intermediate Algebra, 4ed 22 The FOIL Method When multiplying two binomials, the distributive property.

1.(-7) (-2) 2.(3)(-6) 3.(4)(5) 4.(-3) (4t) 5.(2)(-2x) 6.(7y)(3) 7.3(s+5) 8.4(-n+2) 9.4-(t+2) 10.3n+(2-n) Algebra S9 Day 21.

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 –

Math Notebook, Pencil & Calculator.  Find the sum or difference. Write the polynomial decrease from left to right.  (5a^2 -3) +(8a^2 -1) =  (3x^2 -8)

Objective 119 Multiplying 2 binomials, (x + a)(x + b) ©2002 by R. Villar All Rights Reserved.

Lesson 10.2 Multiplying Polynomials Objective: To multiply polynomials Multiply monomials by other polynomials by using distributive property Examples.

Objective The student will be able to: multiply two polynomials using the distributive property.

Do Now: Simplify and write in standard form x 2 - x 2 + 4x – 1 -6x 2. 2 – 7x – x 3.

Multiply two binomials using FOIL method

Copyright 2013, 2010, 2007, 2005, Pearson, Education, Inc.

AIM: How do we multiply and divide polynomials?

Grade 10 Academic (MPM2D) Unit 3: Algebra & Quadratic Models Product of Binomials & Polynomials Mr. Choi © 2017 E. Choi – MPM2D - All Rights Reserved.

Objective - To multiply polynomials.

Adding and Subtracting Polynomials

Multiplication of monomial and binomials.

Do Now Complete the next 10 problems with integer exponents

8-2 Multiplying Polynomials

Multiplying Polynomials

Multiplying 2 Digit Factors

7.8 Multiplying Polynomials

13 Exponents and Polynomials.

8-2 Multiplying and Factoring

Multiply polynomials When multiplying powers with the same base, keep the base and add the exponents. x2  x3 = x2+3 = x5 Example 1: Multiplying Monomials.

5.11 Multiplying Polynomials

Warm Up You have 15 minutes in your groups to completes as many of the zeros/end behavior examples from yesterday. Don’t waste time! 

Objective multiply two polynomials using the FOIL method and the distributive property.

Multiplication of Polynomials

Multiplying monomial with polynomial

Unit 1 Section 3B: MULTIPLYING POLYNOMIALS

Sign Rule: When the last term is POSITIVE…

Simplify (4m+9)(-4m2+m+3) A.) -16m3+21m+27 B.)-16m3-32m2+21m+27

(2)(4) + (2)(5) + (3)(4) + (3)(5) =

Multiplying Polynomials

Ch Part 1 Multiplying Polynomials

Bell Work Get out your bell work paper Write (scrap paper project) for Tuesday’s bell work Wait for instructions.

Warm Up Simplify the expression by using distributive property and then combining like terms. x(x + 5) + 4(x + 5)

Warm-Up 5 minutes Add or subtract. 1) (5x2 + 4x + 2) + (-2x + 7 – 3x2)

Presentation transcript:

1.(-7) (-2) 2.(3)(-6) 3.(4)(5) 4.(-3) (4t) 5.(2)(-2x) 6.(7y)(3) 7.3(s+5) 8.4(-n+2) 9.4-(t+2) 10.3n+(2-n)

1.(-7) (-2) = 14 2.(3)(-6) = (4)(5) = 20 4.(-3) (4t) = -12t 5.(2)(-2x) = -4x 6.(7y)(3) = 21y 7.3(s+5) = 3s (-n+2) = -4n (t+2) = -t n+(2-n) = 2n+2

Multiplying Polynomials: Distributive Property

 Now you can do #1-6

Multiplying Polynomials: Distribution Method

This distribution method has a special name to help remind us what to do: F-O-I-L Method

 Multiply the First terms  Multiply the Outside terms  Multiply the Inside terms  Multiply the Last terms  Then add the inside and the outside products.

(x+3)(x+5) First: x 2 Outside: 5x Inside: 3x Last: 15 FOIL x 2 + 5x + 3x + 15 x 2 + 8x + 15

 Now you can do #7-15