Geometry The expression (1/3)(x^3 +5x^2 +8x+4) represents the volume of a square pyramid. The expression x + 1 represents the height of the pyramid. What expression represents the side length of the base? (Hint: The formula for the volume of a pyramid is V = (1/3)Bh.) How can polynomial division help you solve this problem?

cyrilicesj 2022-09-14 Answered
Geometry The expression ( 1 / 3 ) ( x 3 + 5 x 2 + 8 x + 4 ) represents the volume of a square pyramid. The expression x + 1 represents the height of the pyramid. What expression represents the side length of the base? (Hint: The formula for the volume of a pyramid is V = (1/3)Bh.) How can polynomial division help you solve this problem?
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Answers (2)

enreciarpv
Answered 2022-09-15 Author has 18 answers
We are given two polynomials: 1 3 ( x 3 + 5 x 2 + 8 x + 4 ) and x+1. How can we find B using polynomial division?
We can find B by dividing 3V by h.
Since V and h are polynomials, polynomial division will here help us find B as well through dividing x 3 + 5 x 2 + 8 x + 4 by x+1.

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tragikovas
Answered 2022-09-16 Author has 1 answers
If we divide the polynomial expression for volume by the given polynomial expression for height and multiply the result by 3, what we get is the polynomial expression for base area.

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