1 / 11

Adding & Subtracting Polynomials

Adding & Subtracting Polynomials. Lesson 10.1. Learning Goal 1 (HS.N-RN.B3 and HS.A-SSE.A.1): The student will be able to use properties of rational and irrational numbers to write, simplify, and interpret expressions based on contextual situations. Polynomial : Poly: Many nomial: terms.

Download Presentation

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. Adding & Subtracting Polynomials Lesson 10.1

  2. Learning Goal 1 (HS.N-RN.B3 and HS.A-SSE.A.1): The student will be able to use properties of rational and irrational numbers to write, simplify, and interpret expressions based on contextual situations.

  3. Polynomial: Poly: Many nomial: terms Form: axk Where k is a non-negative integer. This is a polynomial in one variable. k is the degree ofax. ax alone has a degree of 1 The constant “a” has a degree of0.

  4. Degree:the degree of a polynomial is the largest degree of its terms. Standard form:terms are written in descending order fromthe largest to the smallest degree. Coefficient:the integer in front of the variable. How many you have of each variable. If no number, you have one.

  5. Put this in standard form. -4x2 + 3x3 + 2 3x3 – 4x2 + 2 Name the coefficients and degree. 2x3 + (-1)x2 + 5 Coefficients: 2, -1 Degree: 3 Coefficients: -5, 10 Degree: 2 -5x2 + 10x - 3

  6. Classifying Polynomials

  7. Adding Polynomials: add liketerms! You add the coefficients, not the variables! Horizontal format: (2x2+x-5) + (x2+x+6) remove ( ) = 2x2+x2+x+x-5+6 =3x2+2x+1

  8. Vertical format: line up like terms and add. (2x2+x-5) + (x2+x+6) remove ( ) and line up like terms. 2x2+x-5 + x2+x+6 3x2+2x+1

  9. Subtracting polynomials: use either vertical or horizontal format. ***Remember to change the signs of every term in the second polynomial when you remove the ( )! Vertical format: (8x4-3x2-11x-3) – (-13x4-3x2+2x-17) 8x4 - 3x2- 11x - 3 13x4+3x2-2x+17(combine after changing signs) 21x4 -13x+14

  10. Horizontal format: (8x4-3x2-11x-3) – (-13x4-3x2+2x-17) Remove ( ) changing the signs in the second polynomial. You are adding the opposites! 8x4-3x2-11x-3 + 13x4+3x2-2x+17 (now combine like terms) 21x4-13x+14 Classify this by degree and terms. 4, trinomial

  11. 4 x x 2 2x Find the area of the shaded region. - = A= bh-bh = x  2x – 4  = 2x2 – 2x

More Related