 # POLYNOMIALS AND RATIONAL EXPRESSIONS

Polynomial in standard form: where n ≥ 0 is an integer and are constants
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 Polynomials are added and subtracted by combining the mono -
mials that may differ only by coefficients.

Example: Perform the indicated operations  Multiplying Polynomials

Two polynomials are multiplied by using the Properties of Real
Numbers and Laws of Exponents .

Example: Find the product: Special Products Evaluate: (2a + 3)(2a − 3) = Evaluate:  Evaluate: Factoring is the process of expressing a polynomial as a prod-
uct of two or more nontrivial polynomials.

Example: A polynomial is called prime or irreducible if it cannot be
written as a product of two nontrivial polynomials.

Factoring out the common factor

Factor the following:   Factoring by grouping   Factoring using a formula Factor:  Factor:  Factor:  Factor:  Factor:  A rational expression is a quotient of two polynomials, Example: Simplify Rational Expressions   Multiplication and Division of Rational Expressions  Addition and Subtraction of Rational Expressions Compound Fractions Prev Next