8 polynomial functions
Download as PPTX, PDF3 likes3,796 views
The document discusses polynomial functions. It defines a polynomial function and distinguishes it from other function types. It lists the objectives of understanding degree, using theorems to determine factors and roots, and approximating graphs of polynomial functions. Key points are that every polynomial equation has at least one real or complex root based on the Fundamental Theorem of Algebra, and that a polynomial of degree n will have n roots.
1 of 13
Downloaded 160 times
More Related Content
What's hot (20)
Ad
Viewers also liked (20)
Ad
Similar to 8 polynomial functions (20)
More from KathManarang (20)
Recently uploaded (20)
8 polynomial functions
- 1. Polynomial FunctionsPrepared by:Prof. Teresita P. Liwanag-ZapantaB.S.C.E, M.S.C.M., M.Ed Math (units), PhD-TM (on-going)
- 2. SPECIFIC OBJECTIVES:At the end of the lesson, the student is expected to be able to:Identify a polynomial function.
- 3. Distinguish a polynomial function from among different types of functions.
- 4. Determine the degree of a polynomial function.
- 5. Determine the value of the function with the use of the Remainder Theorem.
- 6. Use the Factor Theorem to determine the factors of a polynomial.
- 7. Use Descartes’ Rule of Signs to determine the maximum number of positive and negative roots of a polynomial equation.
- 8. Locate all possible rational roots/zeroes of a polynomial equation.
- 15. 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