Polynomial function      Desirae O.      Cecilia M.
Polynomial function   A polynomial function is an expression of    finite length   For example, x2-x/4+7 is a polynomial
Polynomial functions   A polynomial is either zero, or can be    written as the sum of one or more non-zero    terms   F...
Real world   The concentration, in parts per million, of a certain drug in the bloodstream after t hours is    given by t...
Polynomial function   Zero of Multiplicity k If        is a factor of a    polynomial function f and     is not a factor...
Nature   Where are polynomial functions found in    nature?   If you look at a cross section of a    honeycomb, you see ...
Graphs
Examples   EX: 3x5 + 2x4 – 5x3 +    x2 + 1   n = 5, a0 = 3, a1 = 2, a2    = -5, a3 = 1, a4 = 0 and    a5 = 1
Example   5x3 − 4x2 + 7x − 8.
Example EX: 3x5 + 2x4 – 5x3 +  x2 + 1n = 5, a0 = 3, a1 = 2, a2 =  -5, a3 = 1, a4 = 0 and a5  =1
Example
Nature
Real World
Nature
Real World
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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

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