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Polynomial fractions

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1. 2x - 5 / (x - 2)(x + 6) + x^2 - 2x + 1 / (x - 2)(x + 6)

2. y + 4 - y - 2
------- ------
10 14

3. 2/(x-3) + 3/(3-x)

4. 3 - c - 4 - 5
------- -------- ---
4c + 2 2c^2 + c 6c

5. 1/3 - 1/4 / 1/3 + 1/6

6. x/3 = 4/ x + 1

b + 17 - 1 = b - 2
7. -------- ------- -------
b^2 - 1 b + 1 b - 1

8. 6/(y-2) + 7/(y-8) = (y-1)/(y-8)

9. y = 6
___ ____
3 5

10. -3/4 = 5/x

11. x = 2
______ _____
x - 3 3

12.
If four out of five doctors prefer fast food, than at a convention of 455 doctors, how many probably ate fast food for lunch? Set up an equation and solve.

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Solution Summary

This provides several examples of solving equations that involve polynomial fractions.

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See Also This Related BrainMass Solution

Polynomials, Polynomial Operations, Exponents, Fractions and Radicals

1. What is the basic principle that can be used to simplify a polynomial? What is the relevance of the order of operations in simplifying a polynomial?
2. When multiplying two polynomials, what fundamental property do you use repeatedly?
3. When working with exponents, is there any difference in operations if the exponents are whole numbers or fractions?
4. In what sense do exponentials and radicals behave exactly the same way?

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