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# INTERMEDIATE ALGEBRA

Chapter 4 POLYNOMIALS AND POLYNOMIAL FUNCTIONS Section: 4.1 – 4.8

Outcomes:
Upon completion of this unit students will be able to perform standard polynomial operations and
solve equations involving polynomials.

 A B C D F N Specific Competencies Demonstrate the ability to: 4.1 Define monomial and determine the coefficient and degree of a monomial. 4.1 Define polynomial and determine the degree of a polynomial. 4.1 Simplify polynomials by combining like terms. 4.1 Evaluate polynomial functions. 4.1 Add and subtract polynomial functions. 4.2 Multiply a monomial and a polynomial. 4.2 Multiply a binomial by a binomial. 4.2 Multiply a polynomial by a polynomial. 4.2 Multiply a polynomial by a polynomial. 4.2 Multiply polynomial functions. 4.3 Divide a polynomial by a monomial. 4.3 Divide polynomials using long division. 4.3 Divide polynomials using synthetic division. 4.3 Divide polynomial functions. 4.3 Use the remainder and factor theorems. 4.4 Factor the greatest common factor. 4.4 Factor by grouping. 4.5 Factor trinomials of the form x2 + bx + c. 4.5 Factor trinomials of the form ax2 + bx + c. 4.5 Factor trinomials using substitution. 4.6 Factor perfect square trinomials. 4.6 Factor the difference of two squares. 4.6 Factor the sum or difference of two cubes. 4.7 Factor polynomials completely. 4.7 Write polynomial functions in factored form. 4.8 Solve polynomial equations using the zero-product property. 4.8 Solve equations involving polynomial functions. 4.8 Model and solve problems involving polynomials.

Chapter 5 RATIONAL EXPRESSIONS AND RATIONAL FUNCTIONS Section: 5.1 – 5.6

Outcomes: Upon completion of this unit students will be able to solve equations involving rational expressions.

 A B C D F N Specific Competencies Demonstrate the ability to: 5.1 Determine the domain of a rational expression. 5.1 Simplify rational expressions. 5.1 Multiply rational expressions. 5.1 Divide rational expressions. 5.1 Work with rational functions. 5.2 Add or subtract rational expressions with a common denominator. 5.2 Find the least common denominator of two or more rational expressions. 5.2 Add or subtract rational expressions with different denominators. 5.3 Simplify a complex rational expression by simplifying the numerator and denominator separately 5.3 Simplify a complex rational expression using the least common denominator. 5.4 Solve equations containing rational expressions. 5.4 Solve equations involving rational functions. *5.5 Solve a rational inequality. 5.6 Solve for a variable in a rational expression. 5.6 Model and solve ratio and proportion problems. 5.6 Model and solve work problems. 5.6 Model and solve uniform motion problems.

Chapter 6 RADICALS AND RATIONAL EXPONENTS Section: 6.1 – 6.8

Outcomes:
Upon completion of this unit students will be able to simplify expressions containing rational
exponents and radicals and solve equations containing such expressions.