Arithmetic with Polynomials & Rational Expressions

  • Perform Arithmetic Operations On Polynomials
    • A.APR.1
      Understand that polynomials form a s...
      more
  • Understand The Relationship Between Zeros And Factors Of Polynomials
    • A.APR.2
      Know and apply the Remainder Theorem...
      more
    • A.APR.3
      Identify zeros of polynomials when s...
      more
  • Use Polynomial Identities To Solve Problems
    • A.APR.4
      Prove polynomial identities and use ...
      more
    • A.APR.5
      (+) Know and apply the Binomial Theo...
      more
  • Rewrite Rational Expressions
    • A.APR.6
      Rewrite simple rational expressions ...
      more
    • A.APR.7
      (+) Understand that rational express...
      more
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Grade level

  • K-2
  • 3-5
  • 6-8
  • 9-12
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Coloring Remainders in Pascal's Triangle (Shodor)

Explore Pascal's Triangle and look for number patterns.

A Geometric Investigation of (a+b)^2 (NCTM)

Coloring Remainders in Pascal's Triangle (Shodor)

Explore Pascal's Triangle and look for number patterns.

Factoring Sum and Difference of Cubes

Watch a video lesson on factoring the sum and difference of two cubes.

A Geometric Investigation of (a+b)^2 (NCTM)

Battleship for Polynomials - Adding and Subtracting (Quia)

Multiply Polynomials (Quia)

(1 vote)

Polytetris

Classify polynomials in this high paced game of algebraic skill.

Adding and Subtracting Rational Expressions

Add and subtract rational expressions with the same denominator while completing practice problems.

Rational Algebraic Expressions

Add, subtract, multiply and divide rational algebraic expressions after you view the tutorial.

Add Rational Expressions

Choose the correct steps for adding rational expressions.

Polynomial Functions - Zeros and Multiplicities

Find complex zeros and identify multiplicity of zeros in this interactive tutorial.

Pascal's Triangle and the Binomial Theorem

Learn about Pascal's Triangle and the Binomial Theorem with these activities.

Algebra - Expand

Explore the Binomial Theorem. Enter a binomial to any power and find the expansion.

Polynomial Functions: Finding Zeros, Solutions, or Roots

Use synthetic division to evaluate functions, find zeros and more in this interactive tutorial .

Coloring Remainders in Pascal's Triangle (Shodor)

Explore Pascal's Triangle and look for number patterns.

Long Division of Polynomials

Get help dividing polynomials using long division.

The Remainder Theorem and the Factor Theorem

Practice dividing polynomials and applying the Remainder Theorem.

Polynomial Roots Finder

Let this calculator find the roots of polynomial functions as you check your work.

Polynomial Functions

Explore the roots of a fifth order polynomial by adjusting its coefficients.

Self-Quiz: Finding Roots of Polynomials

Take this multiple choice quiz on finding the roots of polynomials.

(1 vote)

Lesson 3-2: Roots of Polynomials

Explore a third order polynomial and discover the Fundamental Theorem of Algebra.

Polynomials - Division of Polynomials by Inspection

Use inspection to divide polynomials by binomials with these step-by-step practice problems.

Factoring Sum and Difference of Cubes

Watch a video lesson on factoring the sum and difference of two cubes.

A Geometric Investigation of (a+b)^2 (NCTM)

Battleship for Polynomials - Adding and Subtracting (Quia)

Multiply Polynomials (Quia)

(1 vote)

Polytetris

Classify polynomials in this high paced game of algebraic skill.

Adding and Subtracting Rational Expressions

Add and subtract rational expressions with the same denominator while completing practice problems.

Rational Algebraic Expressions

Add, subtract, multiply and divide rational algebraic expressions after you view the tutorial.

Add Rational Expressions

Choose the correct steps for adding rational expressions.

Polynomial Functions - Zeros and Multiplicities

Find complex zeros and identify multiplicity of zeros in this interactive tutorial.

Pascal's Triangle and the Binomial Theorem

Learn about Pascal's Triangle and the Binomial Theorem with these activities.

Algebra - Expand

Explore the Binomial Theorem. Enter a binomial to any power and find the expansion.

Polynomial Functions: Finding Zeros, Solutions, or Roots

Use synthetic division to evaluate functions, find zeros and more in this interactive tutorial .

Coloring Remainders in Pascal's Triangle (Shodor)

Explore Pascal's Triangle and look for number patterns.

Long Division of Polynomials

Get help dividing polynomials using long division.

The Remainder Theorem and the Factor Theorem

Practice dividing polynomials and applying the Remainder Theorem.

Polynomial Roots Finder

Let this calculator find the roots of polynomial functions as you check your work.

Polynomial Functions

Explore the roots of a fifth order polynomial by adjusting its coefficients.

Self-Quiz: Finding Roots of Polynomials

Take this multiple choice quiz on finding the roots of polynomials.

(1 vote)

Lesson 3-2: Roots of Polynomials

Explore a third order polynomial and discover the Fundamental Theorem of Algebra.

Polynomials - Division of Polynomials by Inspection

Use inspection to divide polynomials by binomials with these step-by-step practice problems.

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