A26-2 Polynomials

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A26-2 Polynomials

  1. 1. Evaluating and Graphing Polynomial Functions Algebra 2 6.2 p. 329
  2. 2. Polynomials A polynomial is a function in the form
  3. 3. Polynomials A polynomial is a function in the form is called the leading coefficient
  4. 4. Polynomials A polynomial is a function in the form is called the leading coefficient is the constant term
  5. 5. Polynomials A polynomial is a function in the form is called the leading coefficient is the constant term n is the degree of the polynomial
  6. 6. Polynomials A linear function, like is a polynomial with degree one.
  7. 7. Polynomials A linear function, like is a polynomial with degree one. A quadratic function, like is a polynomial with degree two.
  8. 8. Polynomials Polynomials only have positive integer exponents.
  9. 9. Synthetic Substitution Write the polynomial in standard form. This means the powers of x should be in descending order. If the polynomial is “missing” a power, put a zero in its place.
  10. 10. Synthetic Substitution Write the polynomial in standard form. Write the coefficients of the terms.
  11. 11. Synthetic Substitution Write the polynomial in standard form. Write the coefficients of the terms. Bring down the leading coefficient.
  12. 12. Example
  13. 13. Graphing End behavior: What the polynomial’s graph does at its ends.
  14. 14. Graphing even
  15. 15. Graphing odd even
  16. 16. Graphing even odd even
  17. 17. Graphing odd even odd even
  18. 18. Graphing Figure out the end behavior.
  19. 19. Graphing Figure out the end behavior. Make a table of values to figure out the middle.

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