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# How is doing operations—adding, subtracting, multiplying, and dividing—with rational expressions similar to or different from doing operations with fractions?

How is doing operations—adding, subtracting, multiplying, and dividing—with rational expressions similar to or different from doing operations with fractions?

# Why is it important to find nonperfect roots in radical form to simplify the process of performing basic operations with radical expressions?

Why is it important to find non-perfect roots in radical form to simplify the process of performing basic operations with radical expressions?

# What are the two steps for simplifying radicals? Can either step be deleted?

What are the two steps for simplifying radicals? Can either step be deleted? If you could add a step that might make it easier or easier to understand, what step would you add?

# If you are multiplying x*3x*6x^2 I would rearrange it to be 3*6*x*x*x^2 = 18x^4. It is easier to keep track of the exponents that way.

If you are multiplying x*3x*6x^2 I would rearrange it to be 3*6*x*x*x^2 = 18x^4. It is easier to keep track of the exponents that way. By the way what property of Algebra am I using to do this?

# How do we find the greatest common factor of a polynomial? Demonstrate the process with an example, showing your work.

How do we find the greatest common factor of a polynomial? Demonstrate the process with an example, showing your work. When finding the greatest common factor of a polynomial, can it ever be larger...

# How do you factor the difference of two squares? How do you factor the perfect square trinomial?

How do you factor the difference of two squares? How do you factor the perfect square trinomial? How do you factor the sum and difference of two cubes? Which of these three makes the most sense to...

# Detail the process of polynomial division when the divisor is a monomial.

Detail the process of polynomial division when the divisor is a monomial. Demonstrate the process with an example. How does this process change when the divisor is not a monomial?

# 1. Do you always use the property of distribution when multiplying monomials and polynomials?

1. Do you always use the property of distribution when multiplying monomials and polynomials? Explain why or why not. In what situations would distribution become important?

# simplify (2x)^3+2^3x

I just cant get this.

# What would be the value of expressing something like the national debt in scientific notation? What information would be lost in such a usage?

What would be the value of expressing something like the national debt in scientific notation? What information would be lost in such a usage? Is that important? Explain why or why...

# What are the practical uses of scientific notation? Why is scientific notation so important in modern-day society?

What are the practical uses of scientific notation? Why is scientific notation so important in modern-day society?

# For each of the following Programming Problems, use the top-down modular approach and pseudocode to design a suitable program to solve it.

For each of the following Programming Problems, use the top-down modular approach and pseudocode to design a suitable program to solve it.   a. Input names of students from the user,...

# What does a solution for one linear inequality look like? How is that different from a solution for one linear equation?

What does a solution for one linear inequality look like? How is that different from a solution for one linear equation?

# Two ordered files may be merged together to create a resulting file containing all the data from both original files.

Two ordered files may be merged together to create a resulting file containing all the data from both original files. And, the output file continues to be in order. Is there any restriction...

# Under what circumstances would you use a sequential file over a database?

Under what circumstances would you use a sequential file over a database? Describe these circumstances. When would a database be more beneficial than a sequential file? Is it possible...

# What are some of the key differences between a flat file and a relational database?

What are some of the key differences between a flat file and a relational database? Which of the two storage methods do you think is most useful in a real-world application?

# Under what circumstances would you use a sequential file over a database?

Under what circumstances would you use a sequential file over a database? Describe these circumstances. When would a database be more beneficial than a sequential file? Is it possible...

# Do the equations x = 4y + 1 and x = 4y – 1 have the same solution? How might you explain your answer to someone who has not learned algebra?

Do the equations x = 4y + 1 and x = 4y – 1 have the same solution? How might you explain your answer to someone who has not learned algebra?

# How many solution sets do systems of linear inequalities have?

How many solution sets do systems of linear inequalities have? Do solutions to systems of linear inequalities need to satisfy both inequalities? In what case might they not?

# A situation where two linear equations with two variables can be helpful is in a "mixture" problem involving investments.

Say a person has \$20,000 to invest, and there are two possible places to invest the money. One pays a 4% return per year, and the other pays 5% per year. How much should be invested...