1 / 8

Lesson 5-1/5-2 Polynomials & Adding/Subtracting

Lesson 5-1/5-2 Polynomials & Adding/Subtracting. Objective Students will: Evaluate polynomial functions Simplify polynomials by collecting like terms Add/Subtract polynomials Find the additive inverse of polynomials. Polynomials A collection of terms: 2x 3x – 4 x 3 – 2x 2 y + 8

amory
Download Presentation

Lesson 5-1/5-2 Polynomials & Adding/Subtracting

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. Lesson 5-1/5-2Polynomials & Adding/Subtracting Objective Students will: Evaluate polynomial functions Simplify polynomials by collecting like terms Add/Subtract polynomials Find the additive inverse of polynomials

  2. Polynomials A collection of terms: 2x 3x – 4 x3 – 2x2y + 8 Coefficients: numbers in front of each term Degree of a term: sum of exponents acting on the variables Degree of polynomials: equal to highest degree of any term Names: monomial, binomial, trinomial

  3. General form (descending order): anxn + an-1xn-1 + …+ a1x + a0 Polynomial Functions: Evaluate by plugging in P(x) = x2 – 5x + 8 when x = 6 P(6) = 62 – 5(6) + 8 = 14 Simplifying Polynomials: combine like terms (same variable parts)

  4. Example 1 Simplify, state the degree, and give the specific name. 2x2y – 4x + 4y – 3xy2 + x 2x2y – 3xy2 – 3x + 4y Degree: 3 (x2y1= 2+1) Name: More than 3 terms so just polynomial will do! Adding/Subtracting Polynomials Combine like terms: A) Mark like terms Or B) line up vertically Additive Inverse: Polynomial with all opposite terms EX: 2x2 -3x + 5 Additive inverse: -2x2 + 3x -5 When problem is subtraction, Change to add the inverse!!!

  5. Example 2 Subtract (change to additive inverse) Method A) Mark LikeTerms (4xy2 – 6x2y2 + 5x3y2) – (2xy2 + 4x2y2 – 8x3y2) (4xy2 – 6x2y2 + 5x3y2) + (-2xy2 - 4x2y2 + 8x3y2) 2xy2 - 10x2y2 + 13x3y2)

  6. Example 2 Subtract (change to additive inverse) Method B) Line up Vertically (4xy2 – 6x2y2 + 5x3y2) – (2xy2 + 4x2y2 – 8x3y2) (4xy2 – 6x2y2 + 5x3y2) + (-2xy2 - 4x2y2 + 8x3y2) 2xy2 - 10x2y2 + 13x3y2

  7. You Try (5xy4 - 7xy2 + 4x2 - 3) – (-3xy4 + 2xy2 - 2y + 4)

  8. Assignment

More Related