The volume of a rectangular prism is given by: V = (w) * (l) * (h) Where, w: width l: length h: height Substituting values we have: 1472 = (20) * (36.8) * (h) Clearing h we have: h = (1472) / ((20) * (36.8)) h = 2 m Answer: the water in the pool is 2m deep
Let denote a constant (a number, rather than a variable like .)
Let denote an expression about (for example,
By the factor theorem, if is a factor of , then . In other words, if all mentions of in the expression are replaced with , then the expression should evaluate to zero.
is equivalent to . That is: .
Replace all mentions of in by to get:
.
That should evaluate to zero. Therefore: . Solve for to get .