8   polynomial functions
Upcoming SlideShare
Loading in...5
×
 

8 polynomial functions

on

  • 1,980 views

 

Statistics

Views

Total Views
1,980
Views on SlideShare
1,980
Embed Views
0

Actions

Likes
0
Downloads
78
Comments
0

0 Embeds 0

No embeds

Accessibility

Categories

Upload Details

Uploaded via as Microsoft PowerPoint

Usage Rights

© All Rights Reserved

Report content

Flagged as inappropriate Flag as inappropriate
Flag as inappropriate

Select your reason for flagging this presentation as inappropriate.

Cancel
  • Full Name Full Name Comment goes here.
    Are you sure you want to
    Your message goes here
    Processing…
Post Comment
Edit your comment

    8   polynomial functions 8 polynomial functions Presentation Transcript

    • Polynomial Functions
      Prepared by:
      Prof. Teresita P. Liwanag-Zapanta
      B.S.C.E, M.S.C.M., M.Ed Math (units), PhD-TM (on-going)
    • SPECIFIC OBJECTIVES:
      At the end of the lesson, the student is expected to be able to:
      • Identify a polynomial function.
      • Distinguish a polynomial function from among different types of functions.
      • Determine the degree of a polynomial function.
      • Determine the value of the function with the use of the Remainder Theorem.
      • Use the Factor Theorem to determine the factors of a polynomial.
      • Use Descartes’ Rule of Signs to determine the maximum number of positive and negative roots of a polynomial equation.
      • Locate all possible rational roots/zeroes of a polynomial equation.
      • Approximate the graph of a polynomial function.
    •  
    •  
    •  
    •  
    •  
    •  
    • Definition: The Roots/Zeroes of polynomials
      If f(r) = 0 , then r is a zero/root/ solution of the polynomial equation
      That is, f(x) = (x-r) Q(x).
      Remarks:
      1. The Fundamental Theorem of Algebra states that every polynomial equation has at least one root, which may be a real or a complex number.
      2. If f(x) is of degree n, then there will be n linear factors.
      3. Every polynomial equation of degree n has exactly n roots.
      4. Complex roots always occur in conjugate pairs, a+bi and a-bi.
      5. If the coefficients of the equation
    •  
    •  
    •  
    •