6­1 Polynomial Functions 2011
January 12, 2011
6­1 Polynomial Functions
Objective
Classify polynomials.
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6­1 Polynomial Functions 2011
January 12, 2011
Check Skills You'll Need
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6­1 Polynomial Functions 2011
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So, what is a POLYNOMIAL?
It is an equation made up of MONOMIALS (mono meaning ONE real number, variable, or a product of each).
Each TERM of a polynomial is called a monomial.
A polynomial made up of one term is a MONOMIAL. Ex: 4x2
A polynomial made up of two terms is a BINOMIAL. Ex: 4x + 7
Anything more than two terms simply has the name POLYNOMIAL.
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6­1 Polynomial Functions 2011
January 12, 2011
The largest exponent of any term is the DEGREE of the polynomial.
This polynomial is in STANDARD FORM since their terms are in descending order by degree.
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6­1 Polynomial Functions 2011
January 12, 2011
You can classify a polynomial by:
~the number of terms it contains
~its degree
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6­1 Polynomial Functions 2011
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Write each polynomial in standard form.
Then classify it by degree and by number of terms.
1. ­7x + 5x4
2. x2 ­ 4x + 3x3 + 2x
3. 4x ­ 6x + 5
4. 3x3 + x2 ­4x + 2x3
5. 6 ­ 2x5
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6­1 Polynomial Functions 2011
January 12, 2011
Simplify each algebraic expression.
Classify each result by number of terms.
1. (3c2 + 7) ­ (5c2 ­ 8)
2. (8y3 ­ 4y + 5) + (3y3 ­ 4)
3. (­12x3 + 5x ­ 23) ­ (4x4 + 31 ­ 9x3)
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HOMEWORK
p. 309 #1­12, 33 ­ 41 Jan 2­6:33 PM
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