You are designing a rectangular rubber stamp. The length of the stamp is 2r + 3. The width of the stamp is r - 4. What polynomial in standard form represents the area of the stamp?

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asked Dec 5, 2021 54.1k views

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You are designing a rectangular rubber stamp. The length of the stamp is 2r + 3. The width of the stamp is r - 4. What polynomial in standard form represents the area of the stamp?

Mathematics
middle-school

VeeDuvv asked

by VeeDuvv

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1 Answer

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Explanation:

Area of the stamp

$= (2r + 3)(r - 4) \\ = 2 {r}^(2) - 8r + 3r - 12 \\ = 2 {r}^(2) - 5r - 12 \\ this \: is \: the \: required \: polynomial \: in \: \\ standard \: form.$