Polynomials

Perrien and Rabalais

Introduction

First, we need to know what polynomials are. Polynomials are the sum or difference of monomials. A monomial is a product of numbers and variables with whole-number exponents. The topics discussed in this project will be the properties of exponents, adding and subtracting polynomials, multiplying and dividing polynomials, and synthetic division.

Vocabulary

  1. Polynomial- is a monomial or the sum of monomials
  2. Degree- the power of an exponent
  3. Standard form of a polynomial- has the polynomial in descending order by degree
  4. Monomial- a number, variable, or the product of numbers and variables
  5. Factored Completely- a factorable polynomial with integer coefficients is factored completely if it is written as a product of unfactorable polynomials with integer coefficients

Property of Exponents

Exponent Challenge Problem

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The properties used in the problem above are power of a quotient, dividing like bases, and negative exponents.

Adding and Subtracting Polynomials

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Multiplying Polynomials

Multiplying a Monomial by a Polynomial

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Multiplying a Binomial by a Binomial

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Multiplying a Trinomial by a Binomial

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Dividing Polynomials Using Long Division

Problem With a One Term Remainder

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Problem With a Multiple Term Remainder

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Synthetic Division

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Problems with Factorable Quotients by Trial and Error and Difference of Two Squares

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Problems finding the Zeros from the Quotient

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Works Cited

Larson, Ron. Larson Algebra 2. Orlando: Houghton Mifflin Harcourt Publishing Company, 2012. Print.

https://www.khanacademy.org/math/algebra-basics/quadratics-polynomials-topic/polynomial-basics-core-algebra/v/adding-and-subtracting-polynomials-2