18 questions
12th - 12th Grade
Mathematics
Unit 3: Polynomial Review is a Grade 12 mathematics worksheet that revisits essential polynomial skills through 18 selected-response items: 17 multiple-choice questions and one multiple-select question. Students factor quadratic expressions and differences of squares, factor by grouping, multiply and simplify polynomial expressions, perform polynomial and synthetic division, identify remainders and quotients, and determine possible solution counts and end behavior from polynomial functions. This review worksheet helps teachers check whether students can select and apply the correct polynomial procedure, manage signs and exponents, and connect algebraic expressions with graphical behavior. The varied question set is suitable for unit review, independent practice, homework, or a quick formative assessment before a polynomial test. It is a free printable worksheet with a complete answer key, giving teachers a ready-to-use way to identify which polynomial operations need additional instruction.
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WorksheetsAnswer Key2x3-x2-25x-12
71
2x2 - x + 3
a
b
(n3 - 2)(2n + 7)
, d)
, b)
This Grade 12 worksheet reviews polynomial factoring, including factoring completely, differences of squares, and factoring by grouping, along with multiplication, simplification, synthetic and long division, remainders, possible solution counts, and end behavior. Its 18 items use 17 multiple-choice questions and one multiple-select question, requiring students to choose correct algebraic results and interpret polynomial behavior.
Use the worksheet after modeling each procedure as a mixed-practice check rather than introducing every skill at once. Have students explain why a factored form works, identify missing or zero terms before synthetic division, and connect the even- and odd-degree end-behavior items to graphs; then use the answer key to discuss the reasoning behind selected distractors.
Watch for sign errors when factoring trinomials, distributing a negative through a polynomial subtraction, and multiplying the binomial by every term. Students may also omit a missing term in synthetic division, report the entire division expression instead of the quotient, confuse the remainder with the quotient, or match end behavior incorrectly for even- versus odd-degree polynomials.
The worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key for the factoring, operations, division, and end-behavior items. For printable submissions, you can scan student work with the Wayground for Teachers app to grade it efficiently.
In the worksheet’s Advanced Settings, adjust font spacing or choose a larger font size to give the polynomial expressions, answer choices, and multi-step division items more visual space. You can also enable a dyslexia-friendly font or translate the worksheet into another language when those file-level options support access to the algebra practice.
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