Final answer:
The two polynomials in the given rational expression \(5x^2 \frac{3x}{12} \frac{7}{x} \frac{5}{1}\) are \(x^2\) and \(x\).
Step-by-step explanation:
In the given rational expression, we have:
Quotient = \(5x^2 \frac{3x}{12} \frac{7}{x} \frac{5}{1}\).
To find the two polynomials, we need to simplify the expression. First, we can cancel out the common factors in the numerator and denominator:
\(5x^2 \div \frac{5}{1}\) = \(x^2 \times \frac{1}{1}\) = \(x^2\).
Similarly, \(3x \div \frac{3}{1}\) simplifies to \(x\).
Therefore, the two polynomials are \(x^2\) and \(x\).