Modeling Polynomial Functions

1234567891011121314151617181920212223242526
Across
  1. 3. the values that makes the function equal to 0
  2. 4. root theorem States if P(x)is a polynomial function with integer coefficients which has a rational root h/k in lowest terms
  3. 8. of quotient rule The rule that states that the power can be applied to the numerator and the denominator
  4. 9. Form The form in which a polynomial has been written both in descending order and with no like terms
  5. 10. exponent rule The rule the states that any number other than zero to the zero power equals one
  6. 12. A root that appears k times has a of k
  7. 15. of products rule The rule that states that to raise a product to a power, you raise each factor to the power and multiply
  8. 16. conjugates Two complex expressions that are identical except that the same complex term is added in one expression and subtracted in the other
  9. 17. Another word for the root of a polynomial
  10. 19. theorem for P(x), the value P(c)equals the remainder when p(x) is divided by x-c
  11. 20. rule of signs A rule about polynomial equations with real coefficients that says that p(x) has a equal number of variations of signs of p(x)
  12. 22. Exponent rule The rule that states that any number to a negative exponent is the same as having that number with a positive exponent in the denominator of a fraction
  13. 24. of number of roots Says every polynomial function of degree n>1 with complex coefficient has n complex roots
  14. 25. Theorem of Algebra A theorem that says every polynomial function with complex coefficients
  15. 26. numbers The product of a constant(other than 0)
Down
  1. 1. Division An efficient algorithm to divide polynomials
  2. 2. rule for exponents The rule that states to divide x to one power by x to another
  3. 5. A set of procedures
  4. 6. regression Using a graphic calculator to determine a best-fit quadratic equation
  5. 7. rule for exponents The rule that states to multiply x to one power by x to another power
  6. 11. root theorem If a+bi is root of a polynomial with real coefficients, then a -bi is a root of that polynomial as well
  7. 13. to power exponents The rule that states finding the value of a power to a power involves multiplying exponents
  8. 14. Value theorem States that for a polynomial function with real coefficients
  9. 18. Numbers A number of the form a+bi, where a and b are real numbers, and i equals the square root of -1
  10. 21. line Test A test that says that if a vertical line can pass through two or more points, then the graph is not the graph
  11. 23. Functions A function that can be defined by evaluating a polynomial
  12. 25. Theorem The polynomial p(x) has x-r as a factor only if r is a root of the equation