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Chapter 5.1/5.2
Monomials and Polynomials
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Vocabulary:• A monomial is an expression that is a number, a
variable, or the product of a number and one or more variables
They cannot contain variables in denominators,variables with exponents that are negative, or variables under radicals
• Constants are monomials that contain no variables
• The numerical factor of a monomial is the coefficient of the variable
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Vocabulary:• The degree of a monomial is the sum of the
exponents of it variables – the degree of a constant is zero
• A power is an expression of the form X5
• Negative exponents are a way of expressing the multiplicative inverse of a number
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Simplifying Expressions:• To simplify means to rewrite the expression
without parentheses or negative exponents
• Product of Powers: N3 x N5 = N8
• Quotient of Powers:
• Power of a Power: (N2)3 = N6
• Power of a Product: (NM)3 = N3 M3
42
6
NNN
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More Vocab:• A Polynomial is a monomial or a sum of
monomials• The monomials that make up a polynomial are
called the terms of the polynomial• Like terms are the ones that can be combined
• Binomials (two terms) Trinomial (three terms)
• The degree is the degree of the monomial with the greatest degree
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FOIL (multiply two binomials)• Find (3y + 2) (5y + 4)
• {(3y)(5y) + (3y)(4) + (2)(5y) + (2)(4)}
• = 15y2 + 12y + 10y + 8
• = 15y2 + 22y + 8
First terms Outer terms Inner terms Last terms
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Tonight’s Homework:
Page 226 (19-41 odd)Page 231 (17-33 odd)Page 232 (37-49 odd)