MATH  085

Elementary Algebra II

LEARNING OUTCOMES

 

Upon successful completion of Math 085, the student should be able to:

 

  1. Identify polynomials and classify them by degree.

 

  1. Simplify algebraic expressions using the laws of exponents.

 

  1. Perform the operations of addition, subtraction, multiplication and division of polynomials.

 

  1. Identify the greatest common factor of a polynomial and factor the greatest common factor out of the polynomial.

 

  1. Identify common group factors of a polynomial and utilize the method of group factoring to factor the polynomial.

 

  1. Identify trinomials in quadratic form and factor them using a variety of methods, including special formulas.

 

  1. Identify rational expressions, identify restrictions on the variables contained in rational expressions, and reduce rational expressions.

 

  1. Perform the operations of addition, subtraction, multiplication and division of rational expressions.

 

  1. Solve equations involving rational expressions.  Solve application problems by representing the given information as a rational equation then solving the rational equation.

 

  1. 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.

 

  1. Perform the operations of addition, subtraction, multiplication, and division of radical expressions involving square roots.

 

  1. Identify quadratic equations and write them in standard form.

 

  1. 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.