POLYNOMIALS AND RATIONAL EXPRESSIONS
Polynomial in standard form:
where n ≥ 0 is an integer and
called the coefficients.
A polynomial with one term is called a monomial:
where k is a whole number. The monomials that form a poly-
nomial are called terms.
For a polynomial
Polynomial? Yes/No Coefficients Degree
Adding and Subtracting Polynomials
Polynomials are added and subtracted by combining the
mials that may differ only by coefficients.
Example: Perform the indicated operations
Two polynomials are multiplied by using the Properties of Real
Numbers and Laws of Exponents .
Find the product:
Evaluate: (2a + 3)(2a − 3) =
Factoring is the process of expressing a polynomial as a
uct of two or more nontrivial polynomials.
A polynomial is called prime or irreducible if it cannot
written as a product of two nontrivial polynomials.
Factoring out the common factor
Factor the following:
Factoring by grouping
A rational expression is a quotientof
Simplify Rational Expressions
Multiplication and Division of Rational Expressions
Addition and Subtraction of Rational Expressions