Question

A box has a volume given by the trinomial x3 + 7x2 - 18x. What are the possible dimensions of the box? Use factoring.

Answer 1

X^3+7x^2-18x

x(x^2+7x-18)

x(x+9)(x-2)

However note that this is not a normal factoring problem as dimensions must be greater than zero, so x>2

Since we were not given a specific volume there are infinite solutions provided x>2