Polynomial Functions
⚫🔴 Polynomial Functions Quiz 🔴⚫
Welcome, Math Champion! 🌟 This interactive quiz is about Polynomial Equations and Polynomial Functions. Study the degree, leading coefficient, zeros, end behavior, and turning points. You can do this! 🚀✨
Part I — Fundamentals 🧠
Choose the best answer. These questions check the basic ideas before solving.
1. A polynomial function of degree n is written in the general form:
2. In P(x)=4x⁵−3x²+7x−9, what is the degree?
3. In P(x)=−6x⁴+2x³−5x+10, what is the leading coefficient?
4. Which of the following is not a polynomial function?
5. The graph of a polynomial function is always:
6. The domain of any polynomial function is:
7. A polynomial of degree n can have at most:
8. The end behavior of a polynomial graph is determined mainly by the:
9. If a polynomial has even degree and positive leading coefficient, then its end behavior is:
10. If p is a zero of P(x), then which statement is true?
Part II — Solving Questions ✏️
Solve carefully. These questions involve degree, zeros, end behavior, and turning points.
11. Identify the degree, leading coefficient, and constant term of P(x)=7x⁶−2x⁴+5x−11.
12. Find the zeros of P(x)=x²−9.
13. Find the zeros of P(x)=x²+5x+6.
14. Find the zeros of P(x)=x³−4x.
15. Determine the end behavior of P(x)=−3x⁵+4x²−1.
16. Determine the end behavior of P(x)=2x⁴−7x+1.
17. How many turning points can a degree 6 polynomial have at most?
18. If P(x)=(x−2)(x+1)(x−5), what are the zeros?
19. Which polynomial has zeros −4, 0, and 3?
20. Determine whether P(x)=x⁴−5x²+4 has x=1 as a zero.
Part III — Dropdown Challenge 🎯
Each question has a dropdown with the 10 answer choices. Choose carefully and trust your math skills! 🔥
Answer Choices:
A. Degree 5
B. Leading coefficient −4
C. Constant term 12
D. −2, 2
E. −3, 0, 3
F. Both ends up
G. Both ends down
H. Left up, right down
I. At most 4 turning points
J. (x+2)(x−1)(x−4)
A. Degree 5
B. Leading coefficient −4
C. Constant term 12
D. −2, 2
E. −3, 0, 3
F. Both ends up
G. Both ends down
H. Left up, right down
I. At most 4 turning points
J. (x+2)(x−1)(x−4)
21. What is the degree of P(x)=8x⁵−3x²+9?
22. What is the leading coefficient of P(x)=−4x⁶+7x³−x+2?
23. What is the constant term of P(x)=5x⁴−8x²+x+12?
24. Find the zeros of P(x)=x²−4.
25. Find the zeros of P(x)=x³−9x.
26. Determine the end behavior of P(x)=6x⁸−2x+1.
27. Determine the end behavior of P(x)=−5x⁴+3x²−7.
28. Determine the end behavior of P(x)=−2x⁷+x³−1.
29. A polynomial function has degree 5. What is the maximum number of turning points it can have?
30. Which factored form has zeros −2, 1, and 4?