polynomials
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TRANSCRIPT
College Algebra and TrigonometryCollege Algebra and Trigonometry
Dr.Maryam T. Al DossaryDr.Maryam T. Al Dossary
PolynomialsPolynomials
OBJECTIVES
At the end of this lesson, you should be able to:
1- Rewrite mathematical expressions using rules of
exponents
2- Implement arithmetic operations on polynomials
3- Find Special Products
Rules For Exponents
Zero Exponent
USING THE PRODUCT RULE
Find each product
Solution
Example1
(a) (b)
USING THE POWER RULES
Simplify, assume all variables represent nonzero real numbers
Solution
Example2
(a) (b) (c)
Evaluate each power
Solution
Example3
(a) (b) (a)
Polynomials
An algebraic expression is the result of adding, subtracting,
multiplying, dividing, raising to powers, or taking roots on any
combination of variables, such as x, y, m, a and b or constants such
as -2, 3, and 15.
A term the product of a real number and one or more variables
raised to powers
Like terms are terms with the same variables each raised to the
same powers
Polynomials
A polynomial is defined as a term or a finite sum of terms,
with only positive or zero integer exponents permitted on the
variables. (the terms of the polynomial cannot have variables
in a denominator)
Terms and Polynomials
The degree of a term with one variable is the exponent on
the variable
The degree of a polynomial is the greatest degree of any
term in a polynomial.
Types of Polynomials
ADDING AND SUBTRACTING POLYNOMIALS
Add or subtract as indicated
Solution
Example4
(a)
(b)
MULTIPLYING POLYNOMIALS
Find each product
Solution
Example4
(a)
(b)
Special Products
USING THE SPECIAL PRODUCTS
Find each product
Solution
Example5
(a)
(b)
DIVIDING POLYNOMIALS
Divide
Solution
Example6
DIVIDING POLYNOMIALS WITH
MISSING TERMSDivide
Solution
Example7
Thank You
Questions