1 / 15

Name: Date: Period: Topic: Adding & Subtracting Polynomials

Name: Date: Period: Topic: Adding & Subtracting Polynomials Essential Question : How can you use monomials to form other large expressions?. Warm – Up: Write an equation of the line that passes through the given point and is perpendicular to the graph of the given equation.

jannap
Download Presentation

Name: Date: Period: Topic: Adding & Subtracting Polynomials

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Name: Date: Period: Topic: Adding & Subtracting Polynomials Essential Question: How can you use monomials to form other large expressions? Warm – Up: Write an equation of the line that passes through the given point and is perpendicular to the graph of the given equation. (3, 2); - 3x + y = - 2

  2. Copy down the following expressions and circle the like terms. Flashback!!! Do you remember what like terms are??? 1. 7x2 + 8x -2y + 8 – 6x 2. 3x – 2y + 4x2 – y 3. 6y + y2 – 3 + 2y2 – 4y3

  3. Adding & Subtracting Polynomials • Vocabulary: • Monomial – is a real number, a variable, or a product of a real number and one or more variables with whole-number exponents. • Ex: x, p, 4xy, 6, - 2r • Degree of Monomial – is the sum of the exponents of its variables. • Ex: 34p2q3r = Degree of the monomial = 6 • Polynomial – is a monomial or a sum of monomials. • Ex: 4x2 + 7x + 3 – 2y – 5xy • Degree of a Polynomial - based on the degree of the monomial with the greatest exponent. • Ex: 4x2 + 7x + 3 Degree of the polynomial = 2

  4. Solve the polynomials. x2 + 4y + 3 + 2x and 3y + 5 + xy + x • x2 + 3x + 7y + xy + 8 • x2 + 4y + 2x + 3 • 3x + 7y + 8 • x2 + 11xy + 8

  5. Adding Polynomials + Find the sum. Write the answer in standard format. (5x3 – x + 2x2 + 7) + (3x2 + 7 – 4x) + (4x2 – 8 – x3) SOLUTION Vertical format: Write each expression in standard form. Align like terms. 5x3 + 2x2 – x + 7 3x2 – 4x + 7 – x3+ 4x2 – 8 4x3 + 9x2 – 5x + 6

  6. Adding Polynomials Find the sum. Write the answer in standard format. (2x2 + x – 5) + (x + x2 + 6) SOLUTION Horizontal format: Add like terms. (2x2 + x – 5) + (x + x2 + 6) = (2x2 +x2) + (x + x) + (–5 + 6) = 3x2 + 2x+ 1

  7. Add the following polynomials: 1. (9y - 7x + 15a) + (- 8a + 8x -3y ) 2. (3a2 + 3ab - b2) + (4ab + 6b2) 3. (4x2 - 2xy + 3y2) + (-3x2 - xy + 2y2) Practice Time!

  8. 4. Find the sum.(5a – 3b) + (6b + 2a) • 3a – 9b • 3a + 3b • 7a + 3b • 7a – 3b Practice Time!

  9. Subtracting Polynomials + – Find the difference. (–2x3 + 5x2 – x+ 8) – (–4x3 + 3x – 4) SOLUTION Use a vertical format. To subtract, you add the opposite. This means you multiply each term in the subtracted polynomial by –1 and add. –2x3 + 5x2 – x + 8 No change –2x3 + 5x2 – x + 8 –4x3 + 3x – 4 4x3– 3x+ 4 Add the opposite

  10. Subtracting Polynomials + Find the difference. (–2x3 + 5x2 – x+ 8) – (–4x2 + 3x – 4) SOLUTION Use a vertical format. To subtract, you add the opposite. This means you multiply each term in the subtracted polynomial by –1 and add. –2x3 + 5x2 – x + 8 –2x3 + 5x2 – x + 8 – –4x3 + 3x – 4 4x3– 3x+ 4 2x3 + 5x 2 – 4x + 12

  11. Subtracting Polynomials Find the difference. (3x2 – 5x + 3) – (2x2 – x – 4) SOLUTION Use a horizontal format. (3x2 – 5x + 3) – (2x2 – x – 4) = (3x2 – 5x + 3) + (– 2x2 + x + 4) = (3x2– 2x2) + (– 5x +x) + (3+ 4) = x2 – 4x+ 7

  12. Subtract the following polynomials: 4. (15a + 9y - 7x) - (-3y + 8x - 8a) 5. (7a - 10b) - (3a + 4b) Practice Time! 6. (4x2 + 3y2 - 2xy) - (2y2 - xy- 3x2)

  13. Find the difference.(5a – 3b) – (2a + 6b) • 3a – 9b • 3a + 3b • 7a + 3b • 7a – 9b Practice Time!

  14. Additional Practice: • Page 477 (1 - 4) • Page 478 (30, 32, 36, 43)

  15. Home-Learning #1: Page 478 (38, 40, 43, 46, 53)

More Related