# MATH 085 Elementary Algebra II • 5 Cr.

## Department

## Division

## Description:

Second in a two-quarter sequence of basic algebra using a lecture/workshop format. Topics include exponents, polynomials, quadratic equations, rational expressions, and radicals. Students must complete both MATH 080 (or equivalent) and MATH 085 to have the equivalent of MATH 097. Prerequisite: MATH 080 or permission of instructor.

## Outcomes:

After completing this class, students should be able to:

- Identify polynomials and classify them by degree.
- Perform the operations of addition, subtraction, multiplication and division of polynomials.
- Identify the greatest common factor of a polynomial and factor the greatest common factor out of the polynomial.
- Identify common group factors of a polynomial and utilize the method of group factoring to factor the polynomial.
- Identify trinomials in quadratic form and factor them using a variety of methods, including special formulas.
- Identify rational expressions, identify restrictions on the variables contained in rational expressions, and reduce rational expressions.
- Perform the operations of addition, subtraction, multiplication and division of rational expressions.
- Solve equations involving rational expressions. Solve application problems by representing the given information as a rational equation then solving the rational equation.
- Identify radical expressions involving square roots, identify restrictions on the variables contained in radical expressions involving square roots, and simplify radical expressions involving square roots.
- Perform the operations of addition, subtraction, multiplication, and division of radical expressions involving square roots.
- Identify quadratic equations and write them in standard form.
- Solve quadratic equations by factoring, extraction of roots, and the quadratic formula. Solve application problems by representing the given information as a quadratic equation, then solving the quadratic equation.