
Polynomial Functions
Quiz
•
Mathematics
•
KG - University
•
Practice Problem
•
Hard
+17
Standards-aligned
Used 563+ times
FREE Resource
About this resource
This quiz comprehensively covers polynomial functions, targeting students at the Algebra 2 or Pre-Calculus level, typically grades 10-12. The questions systematically progress through fundamental polynomial concepts including identifying degree and leading coefficients, finding zeros and roots through various methods, applying the Fundamental Theorem of Algebra, and analyzing polynomial behavior through graphical interpretation. Students need a solid foundation in factoring techniques, complex numbers, synthetic and polynomial division, and the relationship between algebraic and graphical representations. The quiz requires mastery of terminology where zeros, roots, and x-intercepts are equivalent concepts, understanding of multiplicity and its effect on graph behavior, and the ability to construct polynomials from given conditions. Advanced problem-solving skills are essential for questions involving the Rational Root Theorem, complex conjugate pairs, and analyzing increasing/decreasing intervals and extrema from graphs. This quiz was created by a classroom teacher who designed it for students studying polynomial functions in grades 10-12. The assessment serves multiple instructional purposes, functioning effectively as a comprehensive review before unit exams, homework assignments to reinforce classroom learning, or formative assessment to identify areas requiring additional instruction. Teachers can utilize individual sections for targeted practice on specific skills like factoring or finding zeros, while the complete quiz provides thorough preparation for high-stakes assessments. The variety of question types, from computational problems to graphical analysis, ensures students demonstrate both procedural fluency and conceptual understanding. This quiz directly supports Common Core standards A-APR.2 (finding zeros of polynomials), A-APR.3 (graphing polynomial functions), F-IF.7c (analyzing key features from graphs), and F-BF.1 (writing functions from descriptions), making it an invaluable tool for meeting curriculum objectives while building student confidence in polynomial manipulation and analysis.
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35 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The function f(x)=2x6-3x4+2x-10 could...
Tags
CCSS.HSA.APR.B.2
CCSS.HSA.APR.B.3
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The polynomial is...
Tags
TEKS.MATH.P.2F
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
This polynomial is degree 5.
It has...
Tags
TEKS.MATH.P.2F
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
f(x)=(x+4)(x-3)(x-2)
List the zeros for this function.
Tags
CCSS.HSA.APR.B.2
CCSS.HSA.APR.B.3
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Identify the zeros
Tags
TEKS.MATH.P.2F
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
List the roots:
Tags
TEKS.MATH.9-12.III.C.1
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is another way to say "where a function crosses the x-axis"?
Tags
CCSS.HSA.APR.B.3
CCSS.HSA.REI.D.11
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