Alg2 lesson 7-1

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Alg2 lesson 7-1

  1. 1. The degree of a polynomial in one variable isthe greatest exponent of its variable.The leading coefficient is the coefficient of theterm with the greatest degree.Is the expression a polynomial in one variable? If itis, state the degree and leading coefficient. Yes; degree: 4 leading coefficient: 1 No; It contains two variables, a and b. No; The term 2c–1 is not a monomial (dividing by the variable c).
  2. 2. Find 2 2 2 2 2 = 32 – 8 + 6 = 30Find
  3. 3. Find = 2(4x2 – 4x + 1) + 2x – 1 – 1
  4. 4. Graphs of polynomial functions Example: f(x) = 4
  5. 5. Example:f(x) = 2x + 3
  6. 6. Example:f(x) = x2 – 2
  7. 7. Example:f(x) = x3 + 2x
  8. 8. Example:f(x) = x4 + 2x3 + 5
  9. 9. Example:f(x) = x5 + 3x3 + 5x
  10. 10. Even-degree functions
  11. 11. If leadingEnd behavior? coefficient isEnds move in negative, left opposite side will be up.directions (oneup, one down) Odd-degree functions
  12. 12. Even-degree functionsEnd behavior? If leading coefficient isEnds move in negative, bothsame direction sides will be down
  13. 13. For the graph: Does it represent an odd-degree or an even-degreefunction? EVEN State the number of realzeros NONEDescribe the end behavior
  14. 14. For the graph: Does it represent an odd-degree or an even-degreefunction? ODD State the number of realzeros 3Describe the end behavior
  15. 15. For the graph: Does it represent an odd-degree or an even-degreefunction? EVEN State the number of realzeros twoDescribe the end behavior

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