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Express the area of the entire rectangle.Your answer should be a polynomial in standard form.
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Q. Express the area of the entire rectangle.Your answer should be a polynomial in standard form.
- Multiply Length and Width: To find the area of a rectangle, we need to multiply the length by the width.
- Represent Length and Width: Let's say the length of the rectangle is represented by the polynomial , and the width is represented by the polynomial .
- Multiply Polynomials: Now, we multiply the two polynomials: .
- Apply Distributive Property: Using the distributive property (FOIL), we get: .
- Simplify Expression: Simplify the expression: .
- Combine Like Terms: Combine like terms: .
- Standard Form: The polynomial is already in standard form, which is written with terms in descending order of degree.
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