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The Humongous Book of Algebra Problems by W. Michael Kelley

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Chapter 11
POLYNOMIALS
Though a polynomial is no more than a sum of a finite number of terms,
each term usually the product of a real number and a variable raised to
some integer, the importance of polynomials cannot be overstated. This
chapter presents the most basic polynomial skills: classifying polynomials
and calculating polynomial sums, differences, products, and quotients.
Polynomials are like chains. Small clumps of numbers and variables
multiplied together called terms are strung together with addition
and subtraction signs. Youve been dealing with polynomials for a while
now, even though you may not have known it. For instance, 2x + 1 is a
polynomial made up of two terms, 2x and 1. This chapter teaches you
how to describe polynomials and how to add them, subtract them,
multiply them, and divide them.
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There are polynomials out
there that have an innite number
of terms, but you dont deal with
those in algebra.

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