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# Polynomial Function by Desirae &

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### Polynomial Function by Desirae &

1. 1. Polynomial function Desirae O. Cecilia M.
2. 2. Polynomial function A polynomial function is an expression of finite length For example, x2-x/4+7 is a polynomial
3. 3. Polynomial functions A polynomial is either zero, or can be written as the sum of one or more non-zero terms Forming a sum of several terms produces a polynomial. For example, the following is a polynomial
4. 4. Real world The concentration, in parts per million, of a certain drug in the bloodstream after t hours is given by the polynomial -0.05t^2 + 2t + 2 Find the concentration after 2 hr. To find the concentration after 2 hr, we evaluate the polynomial for t = 2: -0.05t^2 + 2t + 2 = -0.05(2)^2 + 2(2) + 2 --------------------------= -0.05(4) + 4 + 2 ---------------------------= -0.2 + 4 + 2 ---------------------------= 5.8 The concentration after 2 hr is 5.8 parts per million.
5. 5. Polynomial function Zero of Multiplicity k If is a factor of a polynomial function f and is not a factor of f, then r is called a zero of multiplicity k of f.
6. 6. Nature Where are polynomial functions found in nature? If you look at a cross section of a honeycomb, you see a pattern of hexagons. This pattern is one hexagon, surrounded by 6 more hexagons, surrounded by 12 hexagons, etc. The total number of hexagons can be modeled by f(x) = 3r2 – 3r + 1, where r is the number of rings and f(r) is the number of hexagons.
7. 7. Graphs
8. 8. Examples EX: 3x5 + 2x4 – 5x3 + x2 + 1 n = 5, a0 = 3, a1 = 2, a2 = -5, a3 = 1, a4 = 0 and a5 = 1
9. 9. Example 5x3 − 4x2 + 7x − 8.
10. 10. Example EX: 3x5 + 2x4 – 5x3 + x2 + 1n = 5, a0 = 3, a1 = 2, a2 = -5, a3 = 1, a4 = 0 and a5 =1
11. 11. Example
12. 12. Nature
13. 13. Real World
14. 14. Nature
15. 15. Real World