Worksheet
Curated OER

Rational Root Theorem

For Students 9th - 10th
In this polynomial learning exercise, students use factoring to simplify polynomials and identify its rational roots. Explanations and examples are provided. This two-page learning exercise contains ten problems.
Worksheet
Curated OER

Factoring #1

For Students 8th - 10th
This is a 10 question worksheet that could be used as a quick introduction, review, or quiz on finding the greatest monomial factors of binomials. The 10 problems are listed twice on the worksheet.
Worksheet
Curated OER

Factoring Completely

For Students 9th - 11th
In this algebra learning exercise, students factor out polynomials using the GCF. They identify special patterns or formula and factor those out first. There are 11 polynomial problems of different degrees.
Worksheet
Curated OER

The Remainder and Factor Theorems

For Students 11th
In this remainder and factor theorems worksheet, 11th graders solve and complete 10 different problems. First, they divide using synthetic division and write their answer in the form given. Then, students use synthetic division to find...
Lesson Plan
Willow Tree

Solving Quadratic Equations

For Students 8th - 11th Standards
Polynomials are full of solutions! Learners understand that the degree determines the number of solutions. Examples show quadratic equations solved by factoring and by using the quadratic formula. A cubic equation is even mixed in for...
Worksheet
Curated OER

Chapter 7 - Objective 3.1 Factor

For Students 9th - 10th
In this factoring worksheet, students combine like terms and factor polynomial equations by factoring. This one-page worksheet contains five problems.
Lesson Plan
Curated OER

College Level Study Guide

For Teachers 11th - Higher Ed
In this study guide worksheet, students examine and complete questions that are similar to the college Accuplacer College Level Math test. This worksheet includes, but is not limited to, factoring and expanding polynomials, simplifying...
Worksheet
Curated OER

Using Synthetic Substitution and The Factor Theorem to determine Factors of Polynomials

For Students 10th - 12th
In this synthetic substitution activity, students evaluate three different function at specified points.  Students also determine if given factors are factors of four specific polynomials.  Additionally students use the Factor...
Worksheet
Curated OER

Factoring Out Common Factors

For Students 9th - 11th
In this factoring worksheet, students factor monomials and binomials. students group factor groups. This one-page worksheet contains 15 problems.
Worksheet
Curated OER

Factoring Test

For Students 9th - 12th
In this algebra instructional activity, students simplify monomials, perform basic operations on two polynomials, and factor binomials and trinomials. There are 20 questions and a bonus.
Worksheet
Curated OER

Math 155 Worksheet 1

For Students Higher Ed
In this college level Calculus worksheet, students review factoring, rationalization of a denominator, and functional notation to prepare for differentiation.  The two page worksheet contains six problems.  Answers are not...
Worksheet
Curated OER

Factoring Trinomials

For Students 9th - 11th
In this factoring trinomials worksheet, students solve and complete 28 different problems. First, they factor each trinomial, if possible. Then, students use integers to factor out those that cannot be factored and write prime.
Worksheet
Curated OER

Factoring Trinomials

For Students 9th
In this factoring trinomials worksheet, 9th graders solve and complete 18 different problems that include identifying the product and sum of numbers. First, they factor the GCF from each group of numbers and complete. Then, students...
Worksheet
Curated OER

More on Factors, Zeros, and Dividing

For Students 10th - 12th
Learners explore the concept of finding zeros of polynomials.  In this finding zeros of polynomials learning exercise, students find the zeros of polynomials given one zero.  Learners factor and find all the zeros of 18...
Worksheet
Curated OER

Quadratics and Difference of Squares

For Students 9th - 11th
For this algebra worksheet, students factor quadratic equations using the difference of squares and cubes. They factor other polynomials finding the roots. There are 37 questions with an answer key.
Lesson Plan
Curated OER

10-4 Practice: Factoring Differences of Squares

For Teachers 8th - 10th
In this practice worksheet, students factor the differences of squares and identify prime expressions. Polynomials contain one or more variables, with exponents. Students complete 42 problems. An answer key is provided.
Interactive
Curated OER

Factoring Quadratic Polynomials

For Students 9th - 12th
In this online math learning exercise, high schoolers practice factoring 10 quadratic polynomials. When complete, students submit their answers and get instant feedback regarding their accuracy.
Lesson Plan
Curated OER

Worksheet #11: Dividing Polynomials

For Teachers 9th - 10th
For this multiple choice polynomial worksheet, students complete 20 problems involving division of polynomials and reduce them to their lowest terms.
Assessment
Los Angeles County Office of Education

California State Standards: Algebra I

For Students 8th - 10th Standards
Starting a year of Algebra I? This mighty packet practices all of the major topics with different ranges of difficulty. Standards include everything from linear to quadratic to rational expressions. Use it in a...
Lesson Plan
1
1
Illustrative Mathematics

The Missing Coefficient

For Teachers 10th - 12th Standards
This activity highlights the use of the remainder theorem to solve for the unknown coefficient of a specified polynomial when given one of its factors. Use this single problem as a warm-up exercise, a quick check-in at the end of a...
Lesson Plan
Curated OER

Addition and Subtraction of Rational Expressions

For Teachers 8th - 11th
In this adding and subtracting rational numbers worksheet, students add and subtract 20 sets of fractions with polynomial denominators. Students compute common denominators.
Worksheet
Curated OER

Three Multiple Choice Distribute and Factor Problems

For Students 8th - 9th
In this product and factoring worksheet, students find a product in one problem and factor in two problems.  The solutions are provided.
Lesson Plan
Curated OER

Functions and Roots

For Teachers 9th - 10th
For this function worksheet, pupils factor polynomials, or use the FOIL method, to simplify polynomials and determine the roots. This three-page worksheet contains ten problems. Explanations and examples are provided.
Lesson Plan
Curated OER

Worksheet Chapter 6: College Prep Algebra

For Teachers 9th - 12th
In this algebra worksheet, young scholars perform a variety of operations. They factor polynomials, solve algebraic equations, identify the GCF, and solve real life word problems. Twelve of these 100 problems are real life word problems.

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