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Questions and Answers
What is the first step in factoring the expression (3n^7 - 75n^5)?
What is the first step in factoring the expression (3n^7 - 75n^5)?
After factoring out the greatest common factor, what is the remaining expression inside the parentheses?
After factoring out the greatest common factor, what is the remaining expression inside the parentheses?
What is the completely factored form of (3n^7 - 75n^5)?
What is the completely factored form of (3n^7 - 75n^5)?
What is the value of the expression (3n^7 - 75n^5) when (n = 2)?
What is the value of the expression (3n^7 - 75n^5) when (n = 2)?
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If we set the expression (3n^7 - 75n^5) equal to zero, how many distinct real solutions for (n) are there?
If we set the expression (3n^7 - 75n^5) equal to zero, how many distinct real solutions for (n) are there?
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Study Notes
Factoring the Expression
- The expression to factor is 3n7 - 75n5
- The greatest common factor (GCF) of the terms is 3n5
- Factor out the GCF: 3n5(n2 - 25)
- Recognize that (n2 - 25) is a difference of squares
- Factor the difference of squares: (n2 - 25) = (n - 5)(n + 5)
- The completely factored expression is 3n5(n - 5)(n + 5)
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Description
This quiz focuses on factoring the expression 3n7 - 75n5. It covers finding the greatest common factor and recognizing the difference of squares to completely factor the expression. Test your understanding of these algebraic concepts.
