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Chapter 5: Some Operations with Polynomials and
Radicals
5.1 Introduction to Polynomials5.2 Names of Polynomials
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Definitions and VocabularyA term is a number, a variable or
the product of a number and a variable. Terms are the pieces that make up an expression.
If a term does not contain a variable, it is also called a constant.
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Definitions and VocabularyA polynomial is an expression in
which terms are connected by addition, subtraction, and/or multiplication.
Polynomials with special namesNumber of Terms
Name
1 Monomial
2 Binomial
3 Trinomial
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Definitions and VocabularyThe coefficient of a variable is
the number that is attached to the variable by multiplication. Constants are also considered coefficents.
Example: Give the coefficient of each term.1.
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Example: Is the expression a polynomial?1. 2. 3.
4.
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Writing PolynomialsPolynomials are written in
descending powers of .
Example: Write the polynomial in descending powers of . 1. 2.
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Definitions and VocabularyThe degree of a polynomial with
one variable is the exponent of the highest power of that variable.
Polynomials with special namesDegree Name
1 (first) Linear
2 (second) Quadratic
3 (third) Cubic
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Example: name the polynomial by degree and by number of terms
1. 2. 3. 4.
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HomeworkP 171 #1 – 36,47 – 56 odds