1. Create your own question that could appear on the test for this unit. The question can be about adding, subtracting, multiplying, or factoring polynomials. Solve your own problem to make sure that the question has a solution, but do not submit your answer with your test question. Your classmates will be responsible for solving the problem that you make up.

Question

1. Create your own question that could appear on the test for this unit. The question can be about adding, subtracting, multiplying, or factoring polynomials. Solve your own problem to make sure that the question has a solution, but do not submit your answer with your test question. Your classmates will be responsible for solving the problem that you make up.

2. What are two pieces of mathematical advice you have for a classmate who’s about to take an assessment on the content you learned in this unit? Think about what types of mistakes are common when adding, subtracting, multiplying, or factoring polynomials.

For your original discussion post, you only need to respond to #1 and #2.

3. View posts from your classmates and choose one to respond to. You will need to solve the test question that your classmate created. Be sure to show all of your work and explain your solution. Do you agree with the mathematical advice that your classmate posted? Why or why not?

4. View responses and comment on the work of another classmate. You may correct any errors that you find, show another way to solve the problem, or provide constructive feedback on the work.

Answer 1

1. Test Question:

Simplify the expression: (4x² + 3x - 7) - (2x² + 5x + 1)

2. Mathematical Advice:
- Pay attention to signs when adding or subtracting polynomials, as it is easy to make sign errors. Double-check your signs before moving on.
- When factoring polynomials, always look for the greatest common factor (GCF) first. Factoring out the GCF can simplify the expression and make it easier to factor further, if needed.

3. Response to Classmate's Test Question:

(4x² + 3x - 7) - (2x² + 5x + 1)

First, distribute the negative sign to the terms inside the second parentheses:

4x² + 3x - 7 - 2x² - 5x - 1

Next, combine like terms by adding or subtracting coefficients with the same variables:

(4x² - 2x²) + (3x - 5x) - (7 + 1)

2x² - 2x - 8

Therefore, the simplified expression is 2x² - 2x - 8.

I agree with the mathematical advice provided by my classmate. It is important to pay close attention to signs when adding or subtracting polynomials to avoid making errors in calculations. Additionally, factoring out the greatest common factor can simplify the expression and make the factoring process more manageable.