1 / 15

Classifying Polynomials

Classifying Polynomials. Polynomial Terms. Polynomial – A monomial or sum of monomials. Polynomial Function – A function in the form of: + Where n = degree. Polynomial Terms. • Standard Form of a Polynomial – a polynomial whose terms are written in descending order.

nitza
Download Presentation

Classifying 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. Classifying Polynomials

  2. Polynomial Terms • Polynomial – A monomial or sum of monomials. • Polynomial Function – A function in the form of: • + • Where • n = degree

  3. Polynomial Terms • Standard Form of a Polynomial – a polynomial whose terms are written in descending order. • Degree of a Polynomial- the highest exponent in any term of a polynomial

  4. Polynomials

  5. Steps to Using the ti 84 calculator • We have talked in the past about modeling data with lines and parabolas. Sometimes a polynomial of degree 3 or higher fit the data better. A graphing calculator can be used to find these equations. 1. Enter data in Lists (STAT enter) STAT → CALC ↓ 4: LinReg (ax + b) 5. QuadReg 6. CubicReg (You could also turn on STAT PLOT to view the points!)

  6. End Behavior of a Graph x → ∞ f(x) → ∞ x → ∞ f(x) → ∞ x → -∞ f(x) → -∞ Odd x → -∞ f(x) → ∞ Even Even x → -∞ f(x) → ∞ Odd x → -∞ f(x) → -∞ x → ∞ f(x) → -∞ x → -∞ f(x) → -∞ Identify its end behavior:

  7. End Behavior of a Graph 1. 2. Even Odd 4. 3. Odd Even Its end behavior identifies whether a polynomial is an even or odd function.

  8. Identify End Behavior of a polynomial Equation Odd Even

  9. Identify End Behavior of a polynomial Equation Odd Even What does even/odd function tell you?

  10. Add and subtract polynomials • To add or subtract polynomials, write in descending order, then combine like terms. You can add or subtract horizontally or vertically.

  11. practice • B. A.

  12. Your turn • B. A.

  13. Multiplying polynomials

  14. Multiplying polynomials

  15. Special product patterns (page 347) • Sum and Difference • (a + b)(a – b) = Square of binomial • = a2 + 2ab + b2 • = a2– 2ab + b2 Cube of a binomial • 3 + 3a2b + 3ab2 + b3 • 3– 3a2b + 3ab2– b3

More Related