Question

A factory needs a box that has a volume of 6 cubic inches. The width should be 1 inch less than the height and the length should be 3 inches greater than the height. Which equation represents the volume of the box with a height of
x
inches?




0
=
x
2
+
2
x
+
3


0
=
x
2
+
2
x
−
9


0
=
x
3
+
2
x
2
−
3
x
+
6


0
=
x
3
+
2
x
2
−
3
x
−
6

Answer 1

Volume: x(x − 1)(x + 3) = 6.
Expand: x(x^2 + 2x − 3) = 6 → x^3 + 2x^2 − 3x − 6 = 0.

So the correct choice is: 0 = x^3 + 2x^2 − 3x − 6.