To find: the dimensions of the mold.
Base's sides are
Given information:
Each mold is a square prism with a square base and a height that is
Formula used:
The Rational Zero Theorem:
If
Calculation:
The length and the width of the box is
The volume is:
In
Since, from the text of the exercise,
Subtract
So, of the function's zeros
Examine potential rational zeros.
Each rational zero has the following form:
where
The constant term is
The leading coefficient is
Therefore, each and every rational zero is
Simplify each fraction:
Try
Use the synthetic division
So,
Try
Use the synthetic division
So,
Also, from the last row.
(The coefficients of the computed quotient are represented by the numbers in the last row, excluding the final number when dividing
So, the equation from step 4 is now
From before,
Consider if
Let us solve the equation
The solution of the equation
Here,
So, there are no real solutions of the equation
To conclude, the only real solution of the starting equation is x=3.
Chapter 2 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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