solving polynomial with degree 3...
the problem is...
This polynomial was created for a word problem. The problem started off w/ this guy that had a block of ice 3x4x5=60 ft^3
He wants to reduce the volume TO (3/5) the original volume by removing the same # of feet from each dimension.
I made the equation... to represent the volume of the cube in terms of the amount of feet removed. After multiplying out this problem becomes
Since he wants to reduce the volume TO (3/5) the original volume, I can say that...
You can see this is the same polynomial that appears at the beginning of this post. I tried to find a whole number root (positive in this case only) and couldn't find one. I know the answer is ABOUT .6 feet. So, it makes sense that I can't plug in positive factors of 24 into the equation and get zero. Obviously, taking all the factors of 24 where one factor is a fraction is an absurd notion.
I can't use the quadratic formula for this problem either, since this polynomial is not a quadratic function. It has a constant, so it's not like I can remove x from the polynomial.
Any idea how I might solve this problem?