An Introduction to Polynomials

An Introduction to Polynomials
Copyright Scott Storla 2015

Some Vocabulary for Polynomials

Copyright Scott Storla 2015
Coefficient Variable term Constant Copyright Scott Storla 2015

Polynomials should be written in standard form with variable terms first and constants last. Notice it’s the commutative property of addition that allows us to reorder the terms. Copyright Scott Storla 2015

For example writing the difference
To use the commutative property we think of subtractions as adding an opposite. This often means shifting between implicit and explicit coefficients. For example writing the difference as the sum means writing an explicit coefficient of –1. After using the commutative property to rewrite the polynomial in standard form we usually end by again making the coefficient implicit. Copyright Scott Storla 2015

For polynomials with one, two or three terms we often use the special names monomial, binomial or trinomial. Copyright Scott Storla 2015

Some Vocabulary for Polynomials

Discussing Polynomials

Write the polynomial as a sum with all coefficients explicit. Next, rewrite the polynomial in standard form and discuss the polynomial in both general and specific terms. Last, write the polynomial with all coefficients implicit. Copyright Scott Storla 2015

Discussing Polynomials

Adding and Subtracting Polynomials Using the Distributive Property

Like Polynomial Terms Variable terms are like if they have the same variable. Constant terms are like terms. Remember only like terms can be added or subtracted. Copyright Scott Storla 2015

First, write the polynomial as a sum with explicit coefficients and decide on the like terms. Next, use the commutative property to rewrite the polynomial in standard form. Finally, simplify the expression using the distributive property. Copyright Scott Storla 2015

Adding and Subtracting Polynomials Using the Distributive Property

Adding and Subtracting Polynomials

Write the polynomial as a sum making coefficients explicit, then simplify the expression. Copyright Scott Storla 2015

Simplify Copyright Scott Storla 2015

An Introduction to Polynomial Distribution

Binomial Distribution

The Distributive Property of Multiplication over Addition

Binomial Distribution

Continuing With Binomial Distribution

Using Distribution to Simplify Expressions

An Introduction to Polynomials

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An Introduction to Polynomials

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