1 / 18

8-1 Adding and subtracting Polynomials

Goals: Add and subtract polynomials. Eligible Content: A1.1.1.5.1. 8-1 Adding and subtracting Polynomials. Polynomial – a mathematical expression consisting of a sum of terms. Each term is the product of a constant and one or more variables raised to a positive or zero power. Examples:.

ora
Download Presentation

8-1 Adding and 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. Goals: Add and subtract polynomials. Eligible Content: A1.1.1.5.1 8-1 Adding and subtracting Polynomials

  2. Polynomial – a mathematical expression consisting of a sum of terms. Each term is the product of a constant and one or more variables raised to a positive or zero power. • Examples: Vocabulary

  3. Standard Form – the terms are in descending order of exponents. vocabulary

  4. Degree – the largest exponent in the polynomial. vocabulary

  5. Constant – degree is zero. Linear – degree is one. Quadratic – degree is two. Cubic – degree is three. Quartic – degree is four. vocabulary

  6. Leading coefficient – the coefficient of the first term when the polynomial is in standard form. vocabulary

  7. Monomial – polynomial with one term. Binomial – polynomial with two terms. Trinomial – polynomial with three terms. Anything bigger – polynomial vocabulary

  8. Examples Give the degree and classify the polynomial by degree and number of terms. • -5 • ¼ x • -9x+2 • x2 – 6 • -x3 +2x + 1 • 3x4 +2x3 – x2 +5x – 8 • 0, constant, monomial • 1, linear, monomial • 1, linear, binomial • 2, quadratic, binomial • 3, cubic, trinomial • 4, quartic, polynomial

  9. Add like terms! Put your answer in Standard Form!! Addition

  10. examples

  11. Find (3x2 + 2x – 1) + (–5x2 + 3x + 4). A. –2x2 + 5x + 3 B. 8x2 + 6x – 4 C. 2x2 + 5x + 4 D. –15x2 + 6x – 4

  12. Find (4x3 + 2x2 – x + 2) + (3x2 + 4x – 8). A. 5x2 + 3x – 6 B. 4x3 + 5x2 + 3x – 6 C. 7x3 + 5x2 + 3x – 6 D. 7x3 + 6x2 + 3x – 6

  13. Distribute the negative sign! Add like terms and put your answer in Standard Form!! Subtraction

  14. examples

  15. Find (3x3 + 2x2 – x4) – (x2 + 5x3 – 2x4). A. 2x2 + 7x3 – 3x4 B.x4 – 2x3 + x2 C.x2 + 8x3 – 3x4 D. 3x4 + 2x3 + x2

  16. Find (8y4 + 3y2 – 2) – (6y4 + 5y3 + 9). A. 2y4 – 2y2 – 11 B. 2y4 + 5y3 + 3y2 – 11 C. 2y4 – 5y3 + 3y2 – 11 D. 2y4 – 5y3 + 3y2 + 7

  17. Page 468 #1-18 Practice

  18. Pages 468-469 #20 – 42 even Homework

More Related