From now on, we shall always assume such restrictions when reducing rational expressions. So this result is valid only for values of p other than 0 and -4. In the original expression p cannot be 0 or -4, because This is done with the fundamental principle.įactor the numerator and denominator to get The denominator of a rational expression can never be equivalent to zero, therefore rational expression can also be defined as the ratio of two polynomials. Just as the fraction 6/8 is written in lowest terms as 3/4, rational expressions may also be written in lowest terms. A Rational Expression is a fraction wherein the numerator and denominator are in the form of algebraic polynomials. In the second example above, finding the values of x that make (x + 2)(x + 4) = 0 requires using the property that ab = 0 if and only if a = 0 or b = 0, as follows. Different numbers and variables, related with the addition, subtraction, multiplication and division signs are. The restrictions on the variable are found by determining the values that make the denominator equal to zero. Rational Expressions - monomial, polynomial. For example, x != -2 in the rational expression:īecause replacing x with -2 makes the denominator equal 0. Since fractional expressions involve quotients, it is important to keep track of values of the variable that satisfy the requirement that no denominator be0. ![]() ![]() The most common fractional expressions are those that are the quotients of two polynomials these are called rational expressions. An expression that is the quotient of two algebraic expressions (with denominator not 0) is called a fractional expression.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |