Lesson #7- Polynomials. A POLYNOMIAL is the sum or difference of many unlike MONOMIALS. ex. 1 5a +...
-
Upload
felix-arnold -
Category
Documents
-
view
215 -
download
0
Transcript of Lesson #7- Polynomials. A POLYNOMIAL is the sum or difference of many unlike MONOMIALS. ex. 1 5a +...
![Page 1: Lesson #7- Polynomials. A POLYNOMIAL is the sum or difference of many unlike MONOMIALS. ex. 1 5a + 7b ex. 2 12x 2 + 5x - 2 Math Gods write the terms with.](https://reader036.fdocuments.in/reader036/viewer/2022062423/56649f1d5503460f94c3407d/html5/thumbnails/1.jpg)
Lesson #7- Polynomials
![Page 2: Lesson #7- Polynomials. A POLYNOMIAL is the sum or difference of many unlike MONOMIALS. ex. 1 5a + 7b ex. 2 12x 2 + 5x - 2 Math Gods write the terms with.](https://reader036.fdocuments.in/reader036/viewer/2022062423/56649f1d5503460f94c3407d/html5/thumbnails/2.jpg)
A POLYNOMIAL is the sum or difference of many unlike MONOMIALS.
ex. 1 5a + 7b ex. 2 12x2 + 5x - 2
Math Gods write the terms with the highest first and go in descending order.
ex. 3 12x7 + 6x4 – 7x2 + 7
![Page 3: Lesson #7- Polynomials. A POLYNOMIAL is the sum or difference of many unlike MONOMIALS. ex. 1 5a + 7b ex. 2 12x 2 + 5x - 2 Math Gods write the terms with.](https://reader036.fdocuments.in/reader036/viewer/2022062423/56649f1d5503460f94c3407d/html5/thumbnails/3.jpg)
eg. 1 Adding Polynomials: Group like terms
€
3x 2 + 5x +10x
€
8xy 2 + 9x 2y + 5xy 2
€
6a+ 7a+12b+ 5b
€
7y + 6 + 8y 2 +10
€
3x 2 +15x
€
13xy 2 + 9x 2y
€
13a+17b
€
8y 2 + 7y +16
![Page 4: Lesson #7- Polynomials. A POLYNOMIAL is the sum or difference of many unlike MONOMIALS. ex. 1 5a + 7b ex. 2 12x 2 + 5x - 2 Math Gods write the terms with.](https://reader036.fdocuments.in/reader036/viewer/2022062423/56649f1d5503460f94c3407d/html5/thumbnails/4.jpg)
eg. 2 Subtracting Polynomials
€
7x − (5x +10x)
€
8x 2 + 4x − (6x 2 + 2x)
€
4a+ 7b− (12a− 5b)
€
7c + 6c 2 − (8c 2 −10)
€
−8x
€
2x 2 + 2x
€
−8a+12b
€
−2c 2 + 7c +10
![Page 5: Lesson #7- Polynomials. A POLYNOMIAL is the sum or difference of many unlike MONOMIALS. ex. 1 5a + 7b ex. 2 12x 2 + 5x - 2 Math Gods write the terms with.](https://reader036.fdocuments.in/reader036/viewer/2022062423/56649f1d5503460f94c3407d/html5/thumbnails/5.jpg)
eg. 3 Multiplying Polynomials
€
3x(5x 2 + 2x)
€
−5(2x +1)
€
−2x 2 3x + 5( )
€
2
3x 2 6x 3 − 9x + 3( )
€
15x 3 + 6x 2
€
−10x − 5
€
−6x 3 −10x 2
€
4x 5 − 6x 3 + 2x 2
![Page 6: Lesson #7- Polynomials. A POLYNOMIAL is the sum or difference of many unlike MONOMIALS. ex. 1 5a + 7b ex. 2 12x 2 + 5x - 2 Math Gods write the terms with.](https://reader036.fdocuments.in/reader036/viewer/2022062423/56649f1d5503460f94c3407d/html5/thumbnails/6.jpg)
Flash to the Polynomial
![Page 7: Lesson #7- Polynomials. A POLYNOMIAL is the sum or difference of many unlike MONOMIALS. ex. 1 5a + 7b ex. 2 12x 2 + 5x - 2 Math Gods write the terms with.](https://reader036.fdocuments.in/reader036/viewer/2022062423/56649f1d5503460f94c3407d/html5/thumbnails/7.jpg)
€
1) Simpliy : 3x 2 +10x 2 − 6x + 4x
![Page 8: Lesson #7- Polynomials. A POLYNOMIAL is the sum or difference of many unlike MONOMIALS. ex. 1 5a + 7b ex. 2 12x 2 + 5x - 2 Math Gods write the terms with.](https://reader036.fdocuments.in/reader036/viewer/2022062423/56649f1d5503460f94c3407d/html5/thumbnails/8.jpg)
€
2) Simplify : 3a+ 5b− (7a+ 9b)
![Page 9: Lesson #7- Polynomials. A POLYNOMIAL is the sum or difference of many unlike MONOMIALS. ex. 1 5a + 7b ex. 2 12x 2 + 5x - 2 Math Gods write the terms with.](https://reader036.fdocuments.in/reader036/viewer/2022062423/56649f1d5503460f94c3407d/html5/thumbnails/9.jpg)
€
3) True or False. A monomial can
have a negative exponent.
![Page 10: Lesson #7- Polynomials. A POLYNOMIAL is the sum or difference of many unlike MONOMIALS. ex. 1 5a + 7b ex. 2 12x 2 + 5x - 2 Math Gods write the terms with.](https://reader036.fdocuments.in/reader036/viewer/2022062423/56649f1d5503460f94c3407d/html5/thumbnails/10.jpg)
€
4) True or False. LIKE TERMS
are monomials with the same
var iables raised to the same
powers.
![Page 11: Lesson #7- Polynomials. A POLYNOMIAL is the sum or difference of many unlike MONOMIALS. ex. 1 5a + 7b ex. 2 12x 2 + 5x - 2 Math Gods write the terms with.](https://reader036.fdocuments.in/reader036/viewer/2022062423/56649f1d5503460f94c3407d/html5/thumbnails/11.jpg)
€
5) Circle the monomials
5a 7a5b7 y−10 6 12x 4
![Page 12: Lesson #7- Polynomials. A POLYNOMIAL is the sum or difference of many unlike MONOMIALS. ex. 1 5a + 7b ex. 2 12x 2 + 5x - 2 Math Gods write the terms with.](https://reader036.fdocuments.in/reader036/viewer/2022062423/56649f1d5503460f94c3407d/html5/thumbnails/12.jpg)
€
6) True or False : A polynomial has
at least two UNLIKE TERMS.
![Page 13: Lesson #7- Polynomials. A POLYNOMIAL is the sum or difference of many unlike MONOMIALS. ex. 1 5a + 7b ex. 2 12x 2 + 5x - 2 Math Gods write the terms with.](https://reader036.fdocuments.in/reader036/viewer/2022062423/56649f1d5503460f94c3407d/html5/thumbnails/13.jpg)
€
7) Simplify 3x + 7y − (2x − 6y)
![Page 14: Lesson #7- Polynomials. A POLYNOMIAL is the sum or difference of many unlike MONOMIALS. ex. 1 5a + 7b ex. 2 12x 2 + 5x - 2 Math Gods write the terms with.](https://reader036.fdocuments.in/reader036/viewer/2022062423/56649f1d5503460f94c3407d/html5/thumbnails/14.jpg)
€
8) Is 4x 3 − 7x +10 a trinomial?
![Page 15: Lesson #7- Polynomials. A POLYNOMIAL is the sum or difference of many unlike MONOMIALS. ex. 1 5a + 7b ex. 2 12x 2 + 5x - 2 Math Gods write the terms with.](https://reader036.fdocuments.in/reader036/viewer/2022062423/56649f1d5503460f94c3407d/html5/thumbnails/15.jpg)
€
Solutions
1) 13x2 - 2x2) -4a - 4b3) False4) True5) 7a5b7, 6 & 12x4
6) True7) x +13y8) Yes
![Page 16: Lesson #7- Polynomials. A POLYNOMIAL is the sum or difference of many unlike MONOMIALS. ex. 1 5a + 7b ex. 2 12x 2 + 5x - 2 Math Gods write the terms with.](https://reader036.fdocuments.in/reader036/viewer/2022062423/56649f1d5503460f94c3407d/html5/thumbnails/16.jpg)
Homework
pg. 57 Activity #1pg. 57-58 #1a-d,2ac,3-5pg. 59 #6aceg