Polynomials & Word Problems - Wasatch
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Polynomials & Word Problems
Use the rules for simplifying polynomials to answer the following:
1. Simplify: [pic]
2. The polynomial [pic] models the profit a company makes on selling an item at a price x. A second item sold at the same price brings in a profit of [pic]. Write a polynomial that expresses the total profit from the sale of both items.
3. The measures of two sides of a triangle are given. If P is the perimeter, and [pic], find the measure of the third side.
4. Jena has a triangular garden with a perimeter that can be represented by [pic]. The sum of two sides of the garden is represented by [pic]. Which expression represents the length of the third side?
5. The polynomial [pic] models the profit a company makes on selling an item at a price s. A second item sold at the same price brings in a profit of [pic]. Write a polynomial that expresses the total profit from the sale of both items.
6. The measures of two sides of a triangle are given. If P is the perimeter, and [pic], find the measure of the third side.
[pic]
7. Jena has a triangular garden with a perimeter that can be represented by [pic]. The sum of two sides of the garden is represented by [pic]. Which expression represents the length of the third side?
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3x + 2y
4x + 2y
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