polynomial arithmetic mr. mcowen. warm-up addition/subtraction: polynomial arithmetic can use...
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Addition/Subtraction: Polynomial Arithmetic can use horizontal or vertical methods for each To add or subtract polynomials, add or subtract the coefficients of terms with the same degree. You can use a horizontal or vertical format. Ex. 1 a.a. b.b. What is:TRANSCRIPT
Polynomial ArithmeticMr. McOwen
Warm-Up
• For the following polynomial functions:a. What is the maximum number of local extrema for the following functions?b. What is the minimum number of local extrema for the following functions?
•A.•B.
Addition/Subtraction:Polynomial Arithmetic
can use horizontal or vertical methods for each
To add or subtract polynomials, add or subtract the coefficients of terms with the same degree. You can use a horizontal or vertical format.
Ex. 1
a.
b.
What is:
What is:
Ex. 2
a.
b.
Warm-Up• For the following polynomial functions:
What is the maximum / minimum number of local extrema for the following functions?
•A.•B.
• If and What is
Warm-Up• For the following polynomial functions:
What is the maximum / minimum number of local extrema for the following functions?
A.•What is the maximum/minimum number of
zeros for:B. and C.
can use horizontal or vertical methods for each
Multiplication:
Ex. 1
To multiply two polynomials together we use the distributive property.
What is:
Ex. 2
The graph of a polynomial function is continuous.The graph of a polynomial function has only smooth turns. A function of n degrees has at most n – 1 turns.
Characteristics of Graphs of Polynomial Functions
Graphs of Polynomials
Graph the following:
x³ vs x5��
x² vs x4
Worksheet – end behaviorPages 467-6815-20 all25-30 all43-48 all
Classwork and Homework
1.) 2.)
3.)
Use Synthetic Substitution to evaluate each of the following:
, find4.)
, find5.)
Evaluating with i and square root
, find
Evaluate each of the following:
, find
, find
, find