Is the following a rational expression or equation?
$\frac{17x+1}{21x-2}$

• A. Expression
• B. Equation
• C. Both A and B are correct
• D. None of the above

Answer: (A)

Verified step by step guidance

1. Identify the given mathematical object: \(\frac{17x+1}{21x-2}\) is a fraction where the numerator and denominator are algebraic expressions.
2. Recall the definitions: A rational expression is a fraction where both numerator and denominator are polynomials, and an equation is a statement that two expressions are equal, usually containing an '=' sign.
3. Check if there is an '=' sign in the given problem. Since there is no '=' sign, it is not an equation.
4. Since the given object is a fraction of polynomials without an equality, it fits the definition of a rational expression.
5. Therefore, the correct classification is that the given object is a rational expression.