U2 – 2.1 P OLYNOMIALS Naming Polynomials Add and Subtract Polynomials Multiply Polynomials.
Algebra 1 7.7 Multiplying Polynomials. Learning Targets Language Goal Students should be able to...
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Transcript of Algebra 1 7.7 Multiplying Polynomials. Learning Targets Language Goal Students should be able to...
![Page 1: Algebra 1 7.7 Multiplying Polynomials. Learning Targets Language Goal Students should be able to read, write, say, and classify polynomials. Math Goal.](https://reader030.fdocuments.us/reader030/viewer/2022032706/56649f575503460f94c7b5d5/html5/thumbnails/1.jpg)
Algebra 1
7.7 Multiplying Polynomials
![Page 2: Algebra 1 7.7 Multiplying Polynomials. Learning Targets Language Goal Students should be able to read, write, say, and classify polynomials. Math Goal.](https://reader030.fdocuments.us/reader030/viewer/2022032706/56649f575503460f94c7b5d5/html5/thumbnails/2.jpg)
Learning Targets
Language GoalStudents should be able to read, write, say, and classify polynomials.
Math GoalStudents should be able to multiply polynomials.
Essential QuestionWhat information can you gather after multiplying polynomials?
![Page 3: Algebra 1 7.7 Multiplying Polynomials. Learning Targets Language Goal Students should be able to read, write, say, and classify polynomials. Math Goal.](https://reader030.fdocuments.us/reader030/viewer/2022032706/56649f575503460f94c7b5d5/html5/thumbnails/3.jpg)
Warm-up
![Page 4: Algebra 1 7.7 Multiplying Polynomials. Learning Targets Language Goal Students should be able to read, write, say, and classify polynomials. Math Goal.](https://reader030.fdocuments.us/reader030/viewer/2022032706/56649f575503460f94c7b5d5/html5/thumbnails/4.jpg)
Multiplying Monomials
What are monomials?Polynomial with only one term
Multiplying Monomials- Group factors with like bases together. Then multiply.
![Page 5: Algebra 1 7.7 Multiplying Polynomials. Learning Targets Language Goal Students should be able to read, write, say, and classify polynomials. Math Goal.](https://reader030.fdocuments.us/reader030/viewer/2022032706/56649f575503460f94c7b5d5/html5/thumbnails/5.jpg)
Example Type 1: Multiplying Monomials
MultiplyA. B.
![Page 6: Algebra 1 7.7 Multiplying Polynomials. Learning Targets Language Goal Students should be able to read, write, say, and classify polynomials. Math Goal.](https://reader030.fdocuments.us/reader030/viewer/2022032706/56649f575503460f94c7b5d5/html5/thumbnails/6.jpg)
Example Type 1: Multiplying Monomials
MultiplyC.
![Page 7: Algebra 1 7.7 Multiplying Polynomials. Learning Targets Language Goal Students should be able to read, write, say, and classify polynomials. Math Goal.](https://reader030.fdocuments.us/reader030/viewer/2022032706/56649f575503460f94c7b5d5/html5/thumbnails/7.jpg)
Example Type 2: Multiplying a Polynomial by a Monomial
Multiplying a Polynomial by a Monomial-Use the Distributive Property!
![Page 8: Algebra 1 7.7 Multiplying Polynomials. Learning Targets Language Goal Students should be able to read, write, say, and classify polynomials. Math Goal.](https://reader030.fdocuments.us/reader030/viewer/2022032706/56649f575503460f94c7b5d5/html5/thumbnails/8.jpg)
Example Type 2: Multiplying a Polynomial by a Monomial
A. 5(2x + x + 4) B. 2x y(3x – y) C. 4a(a b + 2b )2
![Page 9: Algebra 1 7.7 Multiplying Polynomials. Learning Targets Language Goal Students should be able to read, write, say, and classify polynomials. Math Goal.](https://reader030.fdocuments.us/reader030/viewer/2022032706/56649f575503460f94c7b5d5/html5/thumbnails/9.jpg)
Example 3:Multiplying Binomials
• -There are a couple different methods you decide what is best for you.
• You can use the distributive property twice.• You can foil.• You can use the box method.
![Page 10: Algebra 1 7.7 Multiplying Polynomials. Learning Targets Language Goal Students should be able to read, write, say, and classify polynomials. Math Goal.](https://reader030.fdocuments.us/reader030/viewer/2022032706/56649f575503460f94c7b5d5/html5/thumbnails/10.jpg)
Multiplying Binomials
• Method 1: Apply the Distributive Property twice (can box)
(x+3)(x+2)
![Page 11: Algebra 1 7.7 Multiplying Polynomials. Learning Targets Language Goal Students should be able to read, write, say, and classify polynomials. Math Goal.](https://reader030.fdocuments.us/reader030/viewer/2022032706/56649f575503460f94c7b5d5/html5/thumbnails/11.jpg)
Multiplying BinomialsMethod 2: FOIL METHOD (x+3)(x+2)
First Outer Inner Last Combine like terms/Simplify
![Page 12: Algebra 1 7.7 Multiplying Polynomials. Learning Targets Language Goal Students should be able to read, write, say, and classify polynomials. Math Goal.](https://reader030.fdocuments.us/reader030/viewer/2022032706/56649f575503460f94c7b5d5/html5/thumbnails/12.jpg)
Example Type 3: Multiplying Binomials
• Multiply using any methodA. B. C.
![Page 13: Algebra 1 7.7 Multiplying Polynomials. Learning Targets Language Goal Students should be able to read, write, say, and classify polynomials. Math Goal.](https://reader030.fdocuments.us/reader030/viewer/2022032706/56649f575503460f94c7b5d5/html5/thumbnails/13.jpg)
Example 4: Multiplying Polynomials
• Again there are multiple ways to solve. Find the way that you like and use it!!
• Distributive Property• Rectangular Model• Vertical Model
![Page 14: Algebra 1 7.7 Multiplying Polynomials. Learning Targets Language Goal Students should be able to read, write, say, and classify polynomials. Math Goal.](https://reader030.fdocuments.us/reader030/viewer/2022032706/56649f575503460f94c7b5d5/html5/thumbnails/14.jpg)
Example 4: Multiplying Polynomials
Method 1: Distributive Property(5x + 3)( + 10x – 6)
![Page 15: Algebra 1 7.7 Multiplying Polynomials. Learning Targets Language Goal Students should be able to read, write, say, and classify polynomials. Math Goal.](https://reader030.fdocuments.us/reader030/viewer/2022032706/56649f575503460f94c7b5d5/html5/thumbnails/15.jpg)
Example 4: Multiplying Polynomials
Method 2: Rectangular Model(5x + 3)( + 10x – 6)
![Page 16: Algebra 1 7.7 Multiplying Polynomials. Learning Targets Language Goal Students should be able to read, write, say, and classify polynomials. Math Goal.](https://reader030.fdocuments.us/reader030/viewer/2022032706/56649f575503460f94c7b5d5/html5/thumbnails/16.jpg)
Example 4: Multiplying Polynomials
Method 3: Vertical Model(5x + 3)( + 10x – 6)
![Page 17: Algebra 1 7.7 Multiplying Polynomials. Learning Targets Language Goal Students should be able to read, write, say, and classify polynomials. Math Goal.](https://reader030.fdocuments.us/reader030/viewer/2022032706/56649f575503460f94c7b5d5/html5/thumbnails/17.jpg)
Example Type 4: Multiplying Polynomials
A. (x + 2)(x² – 5x + 4) B. (3x – 4)(-2x² + 5x – 6)
![Page 18: Algebra 1 7.7 Multiplying Polynomials. Learning Targets Language Goal Students should be able to read, write, say, and classify polynomials. Math Goal.](https://reader030.fdocuments.us/reader030/viewer/2022032706/56649f575503460f94c7b5d5/html5/thumbnails/18.jpg)
Example Type 4: Multiplying Polynomials
A. (x + 2)(x² – 5x + 4) B. (3x – 4)(-2x² + 5x – 6)
![Page 19: Algebra 1 7.7 Multiplying Polynomials. Learning Targets Language Goal Students should be able to read, write, say, and classify polynomials. Math Goal.](https://reader030.fdocuments.us/reader030/viewer/2022032706/56649f575503460f94c7b5d5/html5/thumbnails/19.jpg)
Example Type 4: Multiplying Polynomials
C. D.
![Page 20: Algebra 1 7.7 Multiplying Polynomials. Learning Targets Language Goal Students should be able to read, write, say, and classify polynomials. Math Goal.](https://reader030.fdocuments.us/reader030/viewer/2022032706/56649f575503460f94c7b5d5/html5/thumbnails/20.jpg)
Example Type 5: Word Application
A. The length of a rectangle is 5 inches greater than the width.1. Write an expression for the width of the rectangle.
2. Write an expression for the length of the rectangle. 3. Write a simplified expression for the area of the rectangle. 4. Find the area of the rectangle when the width is 3 inches.
5. Find the area of the rectangle when the length is 9 inches.
![Page 21: Algebra 1 7.7 Multiplying Polynomials. Learning Targets Language Goal Students should be able to read, write, say, and classify polynomials. Math Goal.](https://reader030.fdocuments.us/reader030/viewer/2022032706/56649f575503460f94c7b5d5/html5/thumbnails/21.jpg)
Example Type 5: Word Application
B. The length of a rectangle is 4 meters shorter than its width. 1. Write a polynomial that represents the area of the rectangle.
2. Find the area of the rectangle when the width is 6 meters.
![Page 22: Algebra 1 7.7 Multiplying Polynomials. Learning Targets Language Goal Students should be able to read, write, say, and classify polynomials. Math Goal.](https://reader030.fdocuments.us/reader030/viewer/2022032706/56649f575503460f94c7b5d5/html5/thumbnails/22.jpg)
Lesson Quiz