Free Printable WorksheetMathAlgebra IIMath CurriculumALG2.113

ALG2.113 Solving Polynomial Equations Worksheet

Download our free printable Algebra II Math worksheet on ALG2.113 Solving Polynomial Equations. Ideal for classroom practice, homeschool learning, independent homework, and standardized test preparation. Available in both print-ready PDF and editable DOCX formats.

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Algebra II Math worksheet provides structured practice on ALG2.113 Solving Polynomial Equations. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

ALG2.113 Solving Polynomial Equations - Practice questions for Solving Polynomial Equations.

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Algebra II

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related ALG2.113 Solving Polynomial Equations skill assessments:

Problem 1Difficulty: Mastery

Choose k so that x = 1 is a solution of the equation x³ + 4x² - 6x + k = 0. What is the value of k?

Solution & Explanation:By the Factor Theorem, x=1 is a solution when substituting x=1 gives 0. Compute: 1³ + (4)(1)² + (-6)(1) + k = 0, so k = -(1³ + (4)(1)² + (-6)(1)) = 1.

Problem 2Difficulty: Mastery

Use technology to approximate the real solution of x⁵ + 4x + 4 = 0 to the nearest hundredth.

Solution & Explanation:This quintic does not factor nicely over the integers, so use a graphing calculator or numerical method. The real solution is approximately -0.87.

Problem 3Difficulty: Mastery

Solve the equation x⁴ - 26x² + 25 = 0. Which set lists all real solutions?

A{-5, -5, -1, 1}

B{-1, 1, 5}

C{-5, -1, 1, 6}

D{-5, -1, 1, 5}

Solution & Explanation:Let y=x². Then (y - 1)(y - 25)=0, so y=1 or y=25. Thus x=±√1, ±√25 = {-5, -1, 1, 5}. Choice D matches.

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Frequently Asked Questions

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QIs this ALG2.113 Solving Polynomial Equations worksheet free for teachers and homeschoolers?

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QCan students practice ALG2.113 Solving Polynomial Equations online with instant feedback?

Yes! In addition to this printable worksheet, students can practice ALG2.113 Solving Polynomial Equations interactively on our platform with automated grading, instant score tracking, and detailed step-by-step solutions.

QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Algebra II Math students. It aligns with educational standard ALG2.113 (Practice questions for Solving Polynomial Equations.).