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8 Adding and Subtracting Polynomials
In this chapter, you learn how to add and subtract polynomials. It begins
w it h a d iscussion of t he elementar y concepts t hat you need to k now to ensure
your success when working with polynomials.Terms and Monomials
In an algebraic expression, terms are the parts of the expression that are
connected to the other parts by plus or minus symbols. If the algebraic
expression has no plus or minus symbols, then the algebraic expression itself
is a term.Problem Identify the terms in the given expression.a. −+ 8 5 −
2(^327)
2
xy
x
b. 3 x^5
Solution
a. −+ 8 5 −
2
xy^3227
x
Step 1. The expression contains plus and minus symbols, so identify the
quantities between the plus and minus symbols.
The terms are − 8
5
2
xy^3227
x,,
2 2
2 ,^ and.