Problem 86
Question
What is a rational expression?
Step-by-Step Solution
Verified Answer
A rational expression is a fraction where both the numerator and the denominator are polynomials.
1Step 1: Understand the Problem
We analyze the given problem to determine what is being asked.
2Step 2: Set Up the Solution
A rational expression is a fraction in which both the numerator and the denominator are polynomials. It is a ratio of two polynomial expressions. As examples, \(\frac{X}{Y}\) where \(X\) and \(Y\) are polynomials, or \(\frac{5x^2 - 3x + 2}{4x^2 + x - 1}\) is a rational expression.
3Step 3: Solve the Problem
Applying the relevant mathematical techniques, we work through the solution step by step.
4Step 4: State the Result
A rational expression is a fraction where both the numerator and the denominator are polynomials.
Other exercises in this chapter
Problem 85
Simplify each algebraic expression. $$5(3 x+4)-4$$
View solution Problem 86
Factor completely, or state that the polynomial is prime. $$x^{2}-10 x+25-36 y^{2}$$
View solution Problem 86
In Exercises 83–90, perform the indicated operation or operations.. $$ (3 x+5)(2 x-9)-(7 x-2)(x-1) $$
View solution Problem 86
Evaluate each expression without using a calculator. $$ 27^{\frac{1}{3}} $$
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