Help please Allie has a piece of construction paper that she wants to use to make an open rectangular prism. she will cut a square with side length x from each corner of the paper, so the length and width is decreased by 2x as shown in the diagram.

a.) write a function that models the volume of the rectangular prism
b.) graph the function and identify a reasonable domain
c.) what do the X intercepts of the graph mean in this context
d.) if Allie wants to maximize the volume of the Box what is the side length of the squares that should be cut from each corner of the piece of construction paper? explain

f(x) = x^3 -2x^2 -3x

x( x^2 -2x-3)

x( x^2 +x -3x -3)

x( x(x+1) -3(x+1))

x( x-3)( x+1)

so zeroes are 0, 3,-1

its (2) option

were is the equation

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

i think is g(1)=-1.

hope that i can