We factor the numerator and denominator completely, then cancel any common factors between the numerator and denominator. When we work with a rational expression, we use the same process. A fraction can be simplified by factoring the numerator and denominator completely, then canceling common factors. Section 1-6 : Rational Expressions For problems 1 3 reduce each of the following to lowest terms. For this rational expression (this polynomial fraction), I can similarly. The process is similar to when we simplified with fractions. If there is anything that needs to be simplified, do just that, simplify. To simplify a numerical fraction, I would cancel off any common numerical factors. Next, we will review how to simplify a rational expression. Since we have variables in our denominator and we are never allowed to divide by zero, we must ensure that no value replaces a variable that results in a zero denominator. The domain will include all values for the variable that result in a non-zero denominator. We previously learned how to find the domain for a rational expression. Following this same concept, a rational expression is the quotient of two polynomials with a non-zero denominator. Lessons For each rational expression: For each rational expression: For each rational expression: The area of a rectangular window can be expressed as 4 x 2. A rational number is the quotient of two integers with a non-zero denominator. In this section, we review how to work with rational expressions.
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