2.4 Project
Across
- 4. What do we obtain when we extend the factor theorem to include both real and imaginary zeros and apply the fundamental theorem of Algebra.
- 9. When a polynomial function is being factored over the complex number system, the function can be written as the product of only _____ factors.
- 11. When a function’s factored form has a quadratic factor, then it has _____ zeros
- 13. Tells us the polynomial function’s leading coefficient and the constant term with integer coefficients can be used to list all the possible rational zeros.
- 14. What are all real numbers also called?
- 15. How many variations does g(-x) have?
- 16. Have no common factor other than positive and equal to 1.
- 17. Every polynomial function of degree n>0 with real ______ can be written as the product of linear factors and irreducible quadratic factors.
- 19. A quadratic formula is irreducible over ____ when it has real coefficients but no real zeros associated with it.
- 20. This rule gives us information about the polynomial’s variation in sign.
Down
- 1. What is this an example of? g(x)=4
- 2. What is the term when a polynomial equation in one variable with real coefficients has a root of the form a + bi.
- 3. What is the real zero if x<a?
- 5. What types of zero will sometimes be repeated in a function?
- 6. What is the real zero if x>b?
- 7. This theorem allows us to improve our statement about the number of zeros for the nth degree
- 8. Are equal to the number of variations in sign of f(x) or less than that number.
- 10. It’s the same as the number of variations in sign of f (-x) or less than that number by some even number.
- 12. Who wrote the Discourse on Method?
- 17. A polynomial function where degree n has exactly n zeros in the complex number system.
- 18. Linear _______ Theorem works by extending the Factor theorem to include both real and imaginary zeros and applying the Fundamental Theorem of Algebra.