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College Algebra and Trigonometry
Dr.Maryam T. Al Dossary
Polynomials
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 THEPRODUCTRULE
Find each product
Solution
Example1
)a( )b(
USING THEPOWERRULES
Simplify, assumeall variablesrepresent nonzero real numbers
Solution
Example2
)a( )b( )c(
Evaluateeach 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 ANDSUBTRACTING
POLYNOMIALS
Add or subtract asindicated
Solution
Example4
)a(
)b(
MULTIPLYING POLYNOMIALS
Find each product
Solution
Example4
)a(
)b(
Special Products
USING THESPECIAL
PRODUCTS
Find each product
Solution
Example5
)a(
)b(
DIVIDING POLYNOMIALS
Divide
Solution
Example6
DIVIDING POLYNOMIALS
WITHMISSING TERMS
Divide
Solution
Example7
thank You
Questions

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Polynomials