Last updated: October 22, 2026 · Written by the Math Made Easy math teachers
Looking for a polynomial functions quiz? Then this Algebra 2 quiz on Polynomial Functions: Zeros, Ends, and Graphs asks 10 multiple-choice questions with instant feedback.
Ten multiple-choice questions on the degree, end behavior, zeros, and graphs of polynomial functions. Think about how the factors, the parity of the degree, and the sign of the leading coefficient fit together.
Standards: F-IF.C.7c, A-APR.B.3, F-IF.B.4 · Level: Grade 11 Algebra 2
What this Polynomial Functions: Zeros, Ends, and Graphs quiz checks
- The degree is the highest exponent; the leading coefficient is the coefficient of that term.
- Even degree: both ends point the same way. Odd degree: the ends point opposite ways.
- A positive leading coefficient makes the right end rise; a negative one makes it fall.
- Odd multiplicity: the graph crosses at the zero. Even multiplicity: it touches and turns.
- A degree n polynomial has at most n zeros and at most n − 1 turning points.
The 10 questions of the quiz
- What is the degree of 6x2 − x8 + 5x?
- Which describes the end behavior of f(x) = −3x3 + 2x?
- In f(x) = (x − 7)3(x + 4), what does the graph do at x = 7?
- A polynomial has degree 9. At most how many turning points can its graph have?
- How many real zeros does the graph shown have?
- Which polynomial function has zeros 3 and −8?
- What are the zeros of x3 − 16x?
- For which values of x is (x + 1)(x − 6) > 0?
- Which equation could match the graph, which falls to the right and has zeros −2, 1, 3?
- Which polynomial rises on both ends?
After the quiz
Missed a question? Reread the Polynomial Functions: Zeros, Ends, and Graphs lesson, then take the quiz again. Next, solve the Algebra 2 worksheet on Polynomial Functions: Zeros, Ends, and Graphs, one star first, then two and three stars. Finally, take the chapter test under real conditions, without notes and with a timer.
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