WorksheetsAlgebra 2: Remainder Factor Theorem
Total questions: 10
Name
Class
Date
Answer KeyAlgebra 2: Remainder Factor Theorem
Total questions: 10
1.
2.
3.
b)
4.
5.
6.
7.
,
8.
9.
10.
Algebra 2: Remainder Factor Theorem
Created by Jeff Da Moude
10 questions
12th Grade
Math
Algebra 2: Remainder Factor Theorem is a Grade 12 mathematics worksheet that helps students apply the Remainder Theorem and Factor Theorem to polynomial expressions. Students evaluate polynomials at specified values, determine remainders from division, and identify which polynomials contain a given factor. The ten-item format combines seven math-response questions requiring integer entries, one multiple-choice item that asks students to select all applicable polynomials, and two drag-and-drop items. This variety checks both procedural fluency and students’ ability to recognize when a polynomial value confirms a factor. Use this free printable worksheet for independent practice, review, or a focused assessment, and use the included answer key to check student work.
Worksheet settings
Font size
S
M
L
XL
WorksheetsAnswer KeyBrowse by subjects
Browse by grades
Browse by format
FAQs
What does this worksheet cover?
This Grade 12 worksheet focuses on using the Remainder Theorem to find polynomial remainders and the Factor Theorem to determine whether a value produces a factor. Its seven integer-response items, select-all-that-apply polynomial question, and two drag-and-drop items require students to evaluate expressions, interpret the result, and connect a zero remainder with factor status.
How can I use this worksheet to teach the Remainder and Factor Theorems?
First model evaluating a polynomial at the value associated with a divisor, then connect the resulting value to the remainder. Before students complete the integer-response items, discuss why a zero result supports a factor conclusion; use the select-all question and drag-and-drop items to have students explain which polynomial relationships they recognize.
What mistakes should I watch for when students complete this worksheet?
Watch for sign errors when students substitute the given value into a polynomial, especially with negative terms or powers. Students may also report the evaluated value as a factor instead of a remainder, or treat every evaluated polynomial as having the divisor as a factor without checking whether the remainder is zero. In the select-all and drag-and-drop items, check that students apply the same test consistently rather than choosing based on visual similarities.
How do I assign and grade this worksheet?
Algebra 2: Remainder Factor Theorem is available as a printable PDF and as a digital quiz on Wayground. It includes a complete answer key for the integer-response, multiple-choice, and drag-and-drop items, and teachers can grade printable student work by scanning it with the Wayground for Teachers app.
How can I differentiate this worksheet for my students?
Use the worksheet’s Advanced Settings to adjust font size or spacing so the polynomial expressions and response areas are easier to read and complete. You can also enable a dyslexia-friendly font or translate the worksheet into another language when those options better support students working through the remainder and factor questions.
Where can I find more worksheets like this on Wayground?
Wayground offers a broad collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to help students build essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.