The volume of a rectangular prism is represented by the function x^3 + 11x^2 + 20x − 32. The width of the box is x − 1, while the height is x + 8. Find the expression representing the length of the box.
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jhonyy9:
do you know formula of volume for a rectangular prism ?
jhonyy9:
V = area of base time height
jhonyy9:
formula for area of a rectangle ?
KpopAsianDramaFanYT:
ahh ok
jhonyy9:
can you solve it now ?
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jhonyy9:
@Laylalyssa
KpopAsianDramaFanYT:
no
jhonyy9:
so than what mean this above wrote ,,ok" ?
KpopAsianDramaFanYT:
nvm that
KpopAsianDramaFanYT:
please help me
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jhonyy9:
so to get the expression of length you need divide the expression of volume by the product of expressions of height and width
ok ?
jhonyy9:
multiplie the x-1 by x +8
and what you get so divide the expression of volume by this expression what you get
jhonyy9:
@supie
KpopAsianDramaFanYT:
ok
jhonyy9:
questions ?
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KpopAsianDramaFanYT:
nope
jhonyy9:
ok
hnd
cya
KpopAsianDramaFanYT:
x^3 + 11x^2 + 20x − 32 divided by 8?
jhonyy9:
(x^3 + 11x^2 + 20x − 32) divided by [(x − 1)( x + 8)] = ?
jhonyy9:
first multiplie (x-1)(x+8)= ?
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jhonyy9:
= x^2 +8x -x -8 = x^2 +7x -8
and now just you need divide the volume expression by this x^2 +7x -8 and so will get the expression of the length