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

cyrilicesj

Answered question

2022-09-14

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?

Answer & Explanation

enreciarpv

enreciarpv

Beginner2022-09-15Added 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.
tragikovas

tragikovas

Beginner2022-09-16Added 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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