A rectangle room has a volume of x^3 + 11x^2 + 34x + 24 cubic feet. The height of the room is x+1. Find the equation that represents the square feet of the floor space in the room.
Thank you in advance
2006-10-26 15:31:04 · 8 answers · asked by MysteryMan 1 in Science & Mathematics ➔ Mathematics
Perform long division or synthetic division.
(x^3 +11x^2 + 34x +24) / (x+1)
_____x^2 + 10x + 24
x+1 | x^3 +11x^2 +34x +24
_____x^3 +x^2_______________Subtract
_________10x^2 +34x_________Drop down the next term
_________10x^2 +10x_________Subtract
________________24x + 24____Drop down the next term
________________24x + 24____Subtract
_____________________0 = Remainder
Answer: x^2 + 10x + 24
2006-10-26 15:32:58 · answer #1 · answered by MsMath 7 · 0⤊ 1⤋
It's (x^3+11x^2 + 34x + 24) / (x+1) = x^2 + 10x + 24
2006-10-26 15:33:58 · answer #2 · answered by James L 5 · 0⤊ 0⤋
x^2 + 10x + 24
x+1 \x^3 + 11x^2 + 34x + 24
-(x^3 + x^2)
10x^2 + 34x
-(10x^2 + 10x)
24x + 24
-(24x+24)
0
so x^2 + 10x + 24 is the floor area
2006-10-26 17:29:52 · answer #3 · answered by yupchagee 7 · 0⤊ 0⤋
You have to divide the volume by the height.
(x+1) into (x^3 + 11x^2 + 34x + 24) is
x^2 + 10x + 24
So that's the area of the floor
2006-10-26 15:34:56 · answer #4 · answered by hayharbr 7 · 0⤊ 0⤋
(x^3 + 11x^2 + 34x + 24)/x+1.
2006-10-26 15:33:17 · answer #5 · answered by Anonymous · 0⤊ 0⤋
You have to do either long division or synthetic division by dividing the long polynomial by x + 1.
It's hard to write the steps here. Your solution will be
x^2 + 10x + 24. This represents the other two dimensions of the room.
2006-10-26 15:35:17 · answer #6 · answered by PatsyBee 4 · 0⤊ 0⤋
x^2+10x+24
2006-10-26 15:57:45 · answer #7 · answered by deeptisharma92 2 · 0⤊ 0⤋
The premise does not make sense. A volume is (in this case) measured in cubic feet, but you have square and linear feet in your premise. If the problem is exactly as stated, then the question cannot be answered.
2006-10-26 15:34:43 · answer #8 · answered by David A 5 · 0⤊ 0⤋