Laws of Exponents and Factoring in Algebra

This course begins by introducing you to the concept of monomial as an algebraic expression in mathematics. You will learn about the relationship between variables and exponents, along with the multiplication, addition, and division of monomials. You will also learn about the components of a monomial. This course delves into what makes the exponents of a monomial a negative integer or zero. Learn how to simplify the non-positive monomial exponents and what scientific notation is used for in algebra. This course teaches you about the various ways to solve fractional equations. You will also learn how an expression with two or more monomial terms is combined by addition, subtraction, and division. Understand the use of associative and commutative properties in solving monomial equations along with the laws for dividing monomials in mathematics.

Do you know how to find the lowest common denominator (LCD) when solving algebraic equations? This course explains in detail how to multiply both sides of an equation with the lowest common denominator. Understand the functions of the greatest common factor (GCF) as the first step of factoring polynomial equations. The material further explains how to reverse distributive properties in factoring polynomials as well as how to get the difference of two perfect squares using the FOIL (first, outside, inside, last) method. Learn about the combination of factors that can be added together to get the coefficient of the middle term of a polynomial. This course also shows you how exponents are arranged in descending order in polynomial equations. Study how to factor the sum of two perfect cubes as well as the difference between two perfect cubes in the real number system.

Finally, it exposes you to the formula for factoring the sum of two perfect cubes and what it means to factor a polynomial completely. You will be introduced to the procedures involved in factoring a polynomial completely. Learn about the different approaches to the multiplication of polynomials. This course is designed to teach you about the associative, commutative, and distributive properties of multiplying polynomials. On the successful completion of this course, you will be equipped with the requisite knowledge of the laws guiding the multiplication of monomials and polynomials in algebra. You will also be able to differentiate between the composition of a monomial and a polynomial. This course is targeted at students who need help solving algebraic equations. Start today to expand your knowledge on the laws of exponents as well as factoring monomials and polynomial expressions.