2.4 Project

4. 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.
9. What types of zero will sometimes be repeated in a function?
10. Every polynomial function of degree n>0 with real ______ can be written as the product of linear factors and irreducible quadratic factors.
11. What is the real zero if x>b?
12. This rule gives us information about the polynomial’s variation in sign.
14. What is the term when a polynomial equation in one variable with real coefficients has a root of the form a + bi.
15. When a function’s factored form has a quadratic factor, then it has _____ zeros
17. It’s the same as the number of variations in sign of f (-x) or less than that number by some even number.
18. What do we obtain when we extend the factor theorem to include both real and imaginary zeros and apply the fundamental theorem of Algebra.
19. A polynomial function where degree n has exactly n zeros in the complex number system.
20. Have no common factor other than positive and equal to 1.
21. A quadratic formula is irreducible over ____ when it has real coefficients but no real zeros associated with it.

1. What is the real zero if x<a?
2. When a polynomial function is being factored over the complex number system, the function can be written as the product of only _____ factors.
3. What is this an example of? g(x)=4
5. Linear _______ Theorem works by extending the Factor theorem to include both real and imaginary zeros and applying the Fundamental Theorem of Algebra.
6. Who wrote the Discourse on Method?
7. Are equal to the number of variations in sign of f(x) or less than that number.
8. This theorem allows us to improve our statement about the number of zeros for the nth degree
13. What are all real numbers also called?
16. How many variations does g(-x) have?