Concept explainers
To find:Total number of factors, in which given expression for volume will be factorized.
Answer to Problem 38PPE
Expression representing volume will have three factors. Also, first step in factoring is, taking greatest common factor from its all three terms.
Explanation of Solution
Giveninformation: Volume of the bat`s house is given by the expression,
Concept/Formula used:Bat`s house is in cuboidal form, so its volume will be given be the formula,
Volume of cuboid
So, find three factors of given expression to represent its volume as a product of its dimensions.
Calculation:In given expression, take
Its quadratic polynomial is further factorized as,
Conclusion: Thus, expression representing volume, as its degree is 3, will have three factors as its three dimensions. And first step in factoring this expression representing volume is, taking greatest common factor from its all three terms.
Chapter 8 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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