Polynomial functions
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This document discusses polynomial functions, which can be written as the sum of terms consisting of a number multiplied by a power of x, where the highest power is the degree. Important terms are the degree, leading coefficient, and standard form. Polynomials have as many x-intercepts as zeros, and the number of intercepts cannot exceed the degree. Examples of polynomials and non-polynomials are provided.
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Polynomial functions
- 2. .A function that can be written like:Axn+Bx-1n+Cx=1n+…..gx+hWhere a,b,c….g,h are real numbers and N is a positive integer.
- 3. Important termsDegree: The highest power of x; in standard form.Leading coefficient: the coefficient of the first term if terms are in descending order.Standard Form: (form on second slide.)Factored Form: f(x)=(x-r1)(x-r2)(x-r3)…
- 4. What I LearnedAs a,b, and c increase the lines on the graph move down and as you decrease them they move up.
- 5. When there is only 3 points then it is NOT possible to get 4 x-intercepts.How ever many zeros there is also how many x-intercepts there is.
- 6. Examples: PolynomialsF(x)=1/2x(2)+2x-3
- 7. F(x)=x(7)-2
- 8. F(x)=x(12)