Concepts 1, 2, 3, and 4 5.1 A DDITION AND S UBTRACTION OF P OLYNOMIALS AND P OLYNOMIAL F UNCTIONS.
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Transcript of Concepts 1, 2, 3, and 4 5.1 A DDITION AND S UBTRACTION OF P OLYNOMIALS AND P OLYNOMIAL F UNCTIONS.
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5.1 ADDITION AND SUBTRACTION OF POLYNOMIALS AND POLYNOMIAL FUNCTIONS
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5.1.1 POLYNOMIALS: BASIC DEFINITIONS
A polynomial in x is defined as a finite sum of terms in the form axn .
n is a whole number.
a is a real number.
a is called the coefficient of the term.
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NUMBER OF TERMS
Polynomials can be named by how many terms they have.
Monomial: a polynomial with one term.
Binomial: a polynomial with two terms.
Trinomial: a polynomial with three terms.
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DEGREE
Degree of a Monomial – the sum of all the exponents.
Degree of a Polynomial – the highest degree term.
Expression Name Degree
2x9
10y – 7y2
5x3y2z
2x2 + 5x – 2
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5.1.2 ADDITION OF POLYNOMIALS
“combine like terms”
Like terms have exactly the same variables with the same powers.
Examples:
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5.1.3 SUBTRACTION OF POLYNOMIALS
KEY: Distribute the negative
In other words, add the opposite
Example, what is the opposite of each polynomial?
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SUBTRACT THE POLYNOMIALS
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SUBTRACTING FROM
Subtract 7 from 10.
Subtract 12 from 4.
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5.1.4 POLYNOMIAL FUNCTIONS
A function defined by a polynomial
YES NO
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EVALUATING POLYNOMIAL
FUNCTIONS
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NEW HOMEWORK POLICY
Everyday we do a new section, a few problems will be assigned. Each week (on any day) we will randomly pick one or two assignments to grade. Make sure to show your work and circle your final answer.
Your assignment for 5.1
Pg. 316 – 318 #18, 34, 66, 72, 76, 80