SOLUTION: the volume of a rectangular prism is represented by the function 2x^3+24x^2+72 a). factor polynomial completely b). if the expression for each dimension of the prism includes x w

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: the volume of a rectangular prism is represented by the function 2x^3+24x^2+72 a). factor polynomial completely b). if the expression for each dimension of the prism includes x w      Log On


   

Question 832606: the volume of a rectangular prism is represented by the function 2x^3+24x^2+72
a). factor polynomial completely
b). if the expression for each dimension of the prism includes x what are the expressions that represent the possible sets of dimensions
c). if x represents 8 cm what are the possible dimensions of the prism
d). could 5 represent x?
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
I tried analyzing this according to Rational Roots Theorem with synthetic division for testing roots, -1,-2,-3,-4,-6,-9,-12,-18,-36, and all these choices failed. Graphing tool on Google seems to show an x intercept of very very near -12.24. That is the ONLY intercept.

You may be looking for a volume formula about v=2%28x-12.24%29%5E3