Question

Is my answer to this word prob correct?

A tool box has a volume of x3 + 8x2 + 11x - 20 cm3 and the height is x + 5 cm. Find the polynomial that would represent the area of the bottom of the tool box? Explain your reasoning


Volume= Area X height
so Area= volume/height

so you need to divide x^3 + 8x^2 + 11x – 20 by x+5

which equals x^2 + 3x -4

area therefore equals x^2 + 3x -4

Answer 1

But at that point you would only have the area of your tool box correct? So since the area is x^2 + 3x - 4, you know the height is x + 5, and you know the formula for area is area=length x width. So, you would plug in your known factors, area and heigth, then solve. Solve for x to get your final answer: x^2 + 3x - 4 = x X x+5

Answer 2

still confused.

Answer 3

The steps you've taken are correct, but x^2 + 3x - 4 is only the area not the length of the base of the tool box. So to find the length of the base of the tool box you would need to divide x^2 + 3x - 4 by x+5

Answer 4

where should i write that though/

Answer 5

how do i divide x^2 + 3x - 4 by x+5???
@RobZBHayes

Answer 6

I'm still working that one out

Answer 7

Hold up, @DarthTony help us out here?

Answer 8

yeah!!! darth's the bomb

Answer 9

@anas2000

Answer 10

@ParthKohli

Answer 11

Darth isn't on ;(

Answer 12

your real job is to divide
x3+8x2+11x−20x+5
i would use synthetic division,but you can do it with long division

Answer 13

long divison is waaaay tooooo long haha

Answer 14

ok i'll do the former

Answer 15

help :(

Answer 16

which equals x^2 + 3x -4
umm.. yes, why?!?