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when two rational expressions are divided, the quorient is 5x² 3x 12 7/x 5. what are the two polynomials

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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 \(x\).

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