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Polynomials and Polynomial Functions
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PRESENTATION OUTLINE
1.
Polynomials and Polynomial Functions
2.
Binomial Theorem
A formula for finding any power of a binomial without multiplying a length
3.
Combination
A way of selecting items from a collection the order selection does not matter
4.
Conjugates
Number pairs of the form a+b and a-b are conjugates
5.
Factor Theorem
A theorem linking factors and 0's of a polynomial .
6.
Fundamental Theorem of Algebra
If P(x) is a polynomial of degree n>1 w/ complex coefficients then P(x)=0 has at least 1 complex root
7.
Imaginary Number
A complex # that can be written as a real #
8.
Irrational Root Theorem
a and b are rational #'s and b is an irrational #.
9.
Multiplicity
How many times a particular # is a zero for a given polynomial.
10.
Pascal's Triangle
Triangle of #'s where each # is the 2 #'s above it added together (except the sides)
11.
Polynomial Function
Expression that has constants, variables, & exponents & are combined with -, +, /. or *
12.
Rational Root Theorem
A theorem providing complete list of possible rational roots of the polynomial expression
13.
Remainder Theorem
Divide a polynomial f(x) x-c you get f(x)= (x-c)*q (x)+r(x)
14.
Standard Form of a Ploynomial
Putting terms of highest degree first to the smallest degree
15.
Synthetic Division
A method of dividing polynomials to omit all variables & exponents
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