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Finding Rational Zeros Algebra 2 6.6 p. 359
In the graph of a polynomial, the  “zeros”  of the function are where the graph touches the  x-axis .
In the graph of a polynomial, the  “zeros”  of the function are where the graph touches the  x-axis . If the graph touches at  x =  k , then that means  f(k) = 0 .
Factor Theorem A polynomial f(x) has a factor  x - k    f(k) = 0
Rational Zero Theorem If a polynomial has  integer  coefficients, then ever rational zero has the form:
Use the rational zero theorem to list the  possible  zeros.
Use the rational zero theorem to list the  possible  zeros. Use  synthetic division  to test each possible zero.

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A26-6 poly zeros

  • 1. Finding Rational Zeros Algebra 2 6.6 p. 359
  • 2. In the graph of a polynomial, the “zeros” of the function are where the graph touches the x-axis .
  • 3. In the graph of a polynomial, the “zeros” of the function are where the graph touches the x-axis . If the graph touches at x = k , then that means f(k) = 0 .
  • 4. Factor Theorem A polynomial f(x) has a factor x - k  f(k) = 0
  • 5. Rational Zero Theorem If a polynomial has integer coefficients, then ever rational zero has the form:
  • 6. Use the rational zero theorem to list the possible zeros.
  • 7. Use the rational zero theorem to list the possible zeros. Use synthetic division to test each possible zero.