# Algebra 2

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When two rational expressions are divide, the quotient is 5x² + 3x + 12 + 7/(x + 5. What are the two polynomials?

• Algebra 2 -

The expression above is a rational expression, not a quotient.

A quotient is just a polynomial, and does not include the division.

Take another look at the problem and post it as it says.

• Algebra 2 -

You are missing a closing bracket

Work backwards by finding a common denominator ...

5x² + 3x + 12 + 7/(x + 5)
= [5x^2(x+5) + 3x(x+5) + 12(x+5) + 7]/(x+5)
= (5x^3 + 25x^2 + 3x^2 + 15x + 12x + 60 + 7)/(x+5)
= (5x^3 + 28x^2 + 27x + 67)/(x+5)

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