Solving Polynomial Equations
Authored by Johnna Edwards
Mathematics
9th - 12th Grade
CCSS covered
Used 723+ times
AI Actions
Add similar questions
Adjust reading levels
Convert to real-world scenario
Translate activity
More...
About
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.
Content View
Student View
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
Access all questions and much more by creating a free account
Create resources
Host any resource
Get auto-graded reports
Continue with Google
Continue with Email
Continue with Classlink
Continue with Clever
or continue with
Microsoft
%20(1).png)
Apple
Others
Already have an account?
Similar Resources on Wayground
20 questions
Réduction d'expressions littérales
Quiz
•
7th Grade - University
14 questions
M7 procenta 1 %
Quiz
•
5th - 9th Grade
20 questions
Solving systems of equations by substitution_1
Quiz
•
9th Grade
13 questions
Diagrama de cajas y desviación típica
Quiz
•
10th Grade
14 questions
Bất phương trình bậc hai
Quiz
•
10th Grade
15 questions
Conocimientos Previos
Quiz
•
5th - 10th Grade
18 questions
Funciones Trigonometricas
Quiz
•
12th Grade
15 questions
Supplementary angles
Quiz
•
7th - 11th Grade
Popular Resources on Wayground
15 questions
Fractions on a Number Line
Quiz
•
3rd Grade
20 questions
Equivalent Fractions
Quiz
•
3rd Grade
25 questions
Multiplication Facts
Quiz
•
5th Grade
54 questions
Analyzing Line Graphs & Tables
Quiz
•
4th Grade
22 questions
fractions
Quiz
•
3rd Grade
20 questions
Main Idea and Details
Quiz
•
5th Grade
20 questions
Context Clues
Quiz
•
6th Grade
15 questions
Equivalent Fractions
Quiz
•
4th Grade
Discover more resources for Mathematics
20 questions
Graphing Inequalities on a Number Line
Quiz
•
6th - 9th Grade
18 questions
SAT Prep: Ratios, Proportions, & Percents
Quiz
•
9th - 10th Grade
12 questions
Exponential Growth and Decay
Quiz
•
9th Grade
12 questions
Parallel Lines Cut by a Transversal
Quiz
•
10th Grade
12 questions
Add and Subtract Polynomials
Quiz
•
9th - 12th Grade
15 questions
Combine Like Terms and Distributive Property
Quiz
•
8th - 9th Grade
20 questions
Function or Not a Function
Quiz
•
8th - 9th Grade
10 questions
Elijah McCoy: Innovations and Impact in Black History
Interactive video
•
6th - 10th Grade