Long Division Polynomials
Authored by Ciara Nicole
Mathematics
9th - 12th Grade
CCSS covered
Used 282+ times
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About
This quiz focuses on polynomial long division, a fundamental algebraic skill taught in high school mathematics, typically at the Algebra II or Pre-Calculus level for grades 9-12. The questions assess students' ability to divide polynomials using both traditional long division and synthetic division methods. Students must demonstrate mastery of dividing cubic and quadratic polynomials by linear expressions, identifying quotients and remainders, and expressing answers in proper mathematical form with fractional remainders when applicable. The problems require students to understand the relationship between dividend, divisor, quotient, and remainder, as well as apply the Factor Theorem to determine whether a linear expression is a factor of a given polynomial. Advanced questions include recognizing special patterns like the difference of cubes and evaluating the correctness of division procedures. Created by Ciara Nicole, a Mathematics teacher in US who teaches grade 9-12. This comprehensive assessment supports classroom instruction by providing varied practice with polynomial division techniques that build toward more advanced topics in algebra and calculus. Teachers can effectively use this quiz as a formative assessment tool to gauge student understanding before moving to rational functions, or as homework practice following initial instruction on polynomial division algorithms. The mix of computational problems and conceptual questions about factors and remainders makes it ideal for review sessions before unit tests or as a warm-up activity to reinforce previously taught skills. This quiz aligns with Common Core standards A-APR.2 and A-APR.6, which require students to perform arithmetic operations on polynomials and solve polynomial equations through factoring and division methods.
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10 questions
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1.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
2x3 - 5x2 + 3x + 7 ÷ x - 2
Tags
CCSS.HSA.APR.D.6
2.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
3x3 - 2x2 - 7x + 6 ÷
x + 1
Tags
CCSS.HSA.APR.D.6
3.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Tags
CCSS.HSA.APR.D.6
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Divide (x2 + 5x - 8) by (x + 3). What is the remainder?
Tags
CCSS.HSA.APR.B.2
5.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
What is the quotient when (10n2 - 37n - 12) is divided by (n - 4)?
Tags
CCSS.HSA.APR.D.6
6.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Tags
CCSS.HSA.APR.D.6
7.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Is (x-2) a factor of f(x)= x3-8x2+14x-4?
Tags
CCSS.HSA.APR.B.2
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