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Write each answer in standard form 7 (2x2 – 3x + 4) + (3x + 2x – 3) 9 (3y2 – 3y + 2) + (4y2 + 3y - 1) Lesson 9-1 Reteaching Algebra 1 Chapter 9 Multiply each term in one binomial by each term of the other binomial Drawing arrows as a 

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Section 9-3 Multiplying Binomials Section 9-4 Write each answer in standard form 7 (2x2 – 3x + 4) + (3x2 + 2x - 3) 9 (3y2 – 3y + 2) Lesson 9-1 Reteaching

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Lesson 9-3 Multiplying Binomials 505 3 y2 2y3 - 7 Simplify Write each answer in standard form 4–9 See margin p 507 rectangle out of a sheet of

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Practice 9-3 Multiplying Binomials Simplify each product 9 (4x + 3)(x - 7) 10 (x + 6)(x 2 - 4x + 3) 11 (5x - 3)(4x + 2) 12 (3y + 7)(4y + 5) 13 (3x + 7)(x + 5)

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24 avr 2019 · practice 9 3 multiplying binomials answer key math 9 miss together with terrific multiplying polynomials worksheet answer key foil method 

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Lesson 9-3Multiplying Binomials505

Multiplying Binomials

Part 1 Multiplying Two Binomials

You can use an area model to multiply two binomials.The diagram below shows (2x+3)(x+4). You can also use the Distributive Property to "nd the product of two binomials.

Using the Distributive Property

Simplify (2x+3)(x+4).

(2x+3)(x+4)=2x(x+4)+3(x+4)Distribute x±4. =2x 2 +8x+3x+12Now distribute 2xand 3. =2x 2 +11x+12Simplify.

Simplify each product.

11

Quick Check

EXAMPLEEXAMPLE

11 x 2 x x 1 x1 x1 x 1 1 1 x 1 1 1 x x 2 xxxx 1 1 1 ? 4

2x(x ? 4)

3(x ? 4)

2x 2 ? 8x

3x ? 12

2x 2 ? 11x ? 12 x 2x 3

9-39-3

Lesson 9-2

Find each product.

1.4r(r-1) 4r

2 -4r2.6hh 2 +8h-33.y 2 2y 3 -7 Simplify.Write each answer in standard form.4-9. See margin p. 507. 4.x 3 +3x 2 +x)+5x 2 +x+15.3t 3 -6t+8+5t 3 +7t-2

6.w(w+1)+4w(w-7)7.6b(b-2)-b(8b+3)

8.m4m 2 -6+3m 2 (m+9)9.3d 2 d 3 -6-d 3 2d 2 +4BABABA

BABABAA

BABA

What You"ll Learn

•Tomultiply binomials using FOIL

¥Tomultiply trinomials by

binomials . . .And Why

To find the area of a

geometric Þgure, as in

Example 31

1

Multiplying Two Binomials

6h 3

±48h

2 -18h2y 5 -7y 2 12h 2

±4h-2140m

2

±11m-263a

2 -20a-32

Check Skills You"ll Need

GO for Help

9-39-3

505

1. Plan

Objectives

1To multiply binomials using

FOIL

2To multiply trinomials by

binomials

Examples

1Using the Distributive

Property

2Multiplying Using FOIL

3Applying Multiplication of

Polynomials

4Multiplying a Trinomial and

a Binomial

Math Background

Finding the product of two

binomials by the FOIL method is a shortcut for distributing the first binomial to each term of the second, and then distributing again to find these individual products. However, no corresponding shortcut exists when one factor is a trinomial.

More Math Background:p. 492C

Lesson Planning and

Resources

See p. 492E for a list of the

resources that support this lesson.

Bell Ringer Practice

Check Skills You'll Need

For intervention, direct students to:

Multiplying and Factoring

Lesson 9-2: Example 1

Extra Skills and Word

Problem Practice, Ch. 9

PowerPointSpecial Needs

Have students who have difficulty in using the

Distributive Property, or in drawing area models to multiply two binomials, use algebra tiles to build and explain their own solutions.

Below Level

Suggest that students use one method to multiply a trinomial by a binomial, and then use the other method to check their work. L2L1 learning style: tactile learning style: verbal One way to organize multiplying two binomials is to use FOIL,which stands for First,Outer,Inner,Last.ŽThe term FOIL is a memory device for applying the Distributive Property to the product of two binomials.

Multiplying Using FOIL

Simplify (3x-5)(2x+7).

=6x 2 +21x-10x-35
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