Solving Polynomial Equations
Quiz
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Medium
+5
Standards-aligned
Johnna Edwards
Used 721+ times
FREE Resource
About this resource
This quiz comprehensively covers polynomial equations and their solutions, targeting high school algebra students in grades 9-12. The content focuses on advanced polynomial manipulation techniques including factoring quadratic and cubic expressions, solving polynomial equations through various methods, and understanding the relationship between factors and zeros. Students need mastery of factoring strategies such as grouping, difference of squares, sum and difference of cubes, and the ability to recognize when polynomials can be factored versus when they are prime. The quiz also requires proficiency in synthetic division, polynomial long division, and the Remainder Theorem. Students must understand the connection between x-intercepts, zeros, and roots of functions, and be able to use given zeros to find complete factorizations of higher-degree polynomials. The mathematical reasoning demanded includes pattern recognition for special factoring cases, systematic application of algebraic procedures, and verification of solutions through substitution. Created by Johnna Edwards, a Mathematics teacher in US who teaches grade 9-12. This quiz serves as an excellent tool for formative assessment during a unit on polynomial functions, allowing teachers to gauge student understanding of multiple solution strategies before moving to more complex rational functions. The variety of question types makes it ideal for differentiated practice, where students can work through problems that build from basic factoring to more sophisticated applications involving synthetic division and the factor theorem. Teachers can use this as a review activity before unit tests, assign it as homework to reinforce classroom instruction, or implement it as a warm-up activity spread across several class periods. The quiz aligns with Common Core standards A-APR.2 (operations on polynomials), A-APR.3 (factor polynomials using structure), and A-REI.4 (solving quadratic equations), providing comprehensive coverage of polynomial manipulation skills essential for success in advanced algebra and pre-calculus courses.
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18 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
Solve by Factoring:
x2 + 15x + 64 = 20
Tags
CCSS.HSA-REI.B.4B
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve by Factoring: 4x2 + 11x - 3 = 0
Tags
CCSS.HSA-REI.B.4B
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Factor this difference of cubes:
x3 - 343
Tags
CCSS.HSA.APR.C.4
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Factor: x3 + 1
Tags
CCSS.HSA.APR.C.4
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Factor by grouping:
4p³+8p²+3p+6
Tags
CCSS.HSA.APR.A.1
CCSS.HSA.SSE.A.2
CCSS.HSA.SSE.B.3
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Factor by grouping:
30x3+15x2-18x-9
Tags
CCSS.HSA.APR.A.1
CCSS.HSA.SSE.A.2
CCSS.HSA.SSE.B.3
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What are the zeros of the function?
Tags
CCSS.HSF-IF.C.7C
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