The composite solid is made up of a cube and a rectangular prism.
a. Write a polynomial that represents the volume of the composite solid.
__in.^3
b. The volume of the composite solid is equal to 25x. What is the value of x?
x=____
Setting the polynomial in part (a) equal to____ and solving for x results in x=__ , x=__, x=__ .
a. The volume of the composite solid = x^3 + 4 * 4 * x =[ x^3 + 16x^2] inches^3
b. 25x^2 = x^3 + 16x^2 subtract 25x^2 from both sides
0 = x^3 - 9x^2 factor
0 = x^2 (x - 9) set both factors to 0 and solve for x..... and x = 0 [reject] or x = 9 in
Setting the polynomial in part (a) equal to ____ and solving for x results in x=__ , x=__, x=__
25x^2 0 0 9