Factor and remainder theorem question

In summary, please post questions in the title of the thread, work to show where you are stuck so that our helpers can help, and be patient while we help you.
  • #1
Jordan1994
4
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Q1.) Use the factor and remainder theorems to find solutions to:

\(\displaystyle 1x^3+1x^2+-9x+D=0\)
 
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  • #2
Re: Please please help with these questions guys

You have posted a number of problems with NO effort of your own shown. Do you know what the "remainder theorem" and "factor theorem" are? The ones that ask you to use the remainder theorem require only simple integer arithmetic! Don't you realize that?
 
  • #3
Jordan1994 said:
Q1.) Use the factor and remainder theorems to find solutions to:

\(\displaystyle 1x^3+1x^2+-9x+D=0\)

Hello and welcome to MHB, Jordan1994.

You originally posted 4 questions, 2 of them containing 3 parts in one thread. In order to make MHB more useful and efficient for everyone involved, we ask that no more than two questions be posted per thread in the initial post, and if any questions contain multiple parts, these should be posted alone in their own thread.

So, I have split your questions appropriately into their own threads. :D

The title of your original thread did not indicate the nature of the problems, but was something like "Please please help with these problems". We ask that when you post a question, that the title reflect what kind of question is being asked in the initial post. This makes it easier for our helpers to see what kind of questions are being asked without having to actually read the thread, and makes giving help more efficient, as well as making threads more useful in searches.

We also require that when a question is posted, work be shown so that our helpers know where you are stuck. We are here to help you work the problems yourself, not work them for you. You will gain much more by being an active participant in the process.

HallsofIvy
has posted statements in the new threads that address some of the same issues I have when reading the questions.

So, I encourage you to visit each of the new threads as well as this one, and post your work or thoughts on how to begin the problems, and we will be happy to assist you. (Star)

I know it may seem like I have given you a long list of grievances, but I hope you can see that our policies are designed to make MHB as useful as possible for everyone. This was your first post here, and we do not expect everyone to be familiar with all of our policies right from the beginning, so this is why I have explained them so you will know how to better follow the guidelines in the future and why they exist. The rules are not to discourage or restrict, they are to make MHB the best it can be. :D
 

FAQ: Factor and remainder theorem question

1. What is the difference between factor theorem and remainder theorem?

Factor theorem states that if a polynomial f(x) has a factor (x-a), then f(a) = 0. On the other hand, remainder theorem states that if a polynomial f(x) is divided by (x-a), the remainder will be f(a).

2. How do I use the factor theorem to find zeros of a polynomial?

In order to use the factor theorem to find zeros of a polynomial, you must first factor the polynomial into its linear factors. Then, set each factor equal to zero and solve for x. The solutions will be the zeros of the polynomial.

3. Can the remainder theorem be used to find the degree of a polynomial?

No, the remainder theorem only helps to find the remainder when a polynomial is divided by (x-a). To find the degree of a polynomial, you must look at the highest power of x in the polynomial.

4. Is the factor theorem applicable to all polynomials?

No, the factor theorem is only applicable to polynomials with real coefficients. It also only applies to polynomials that can be factored into linear factors.

5. How does the factor theorem help in simplifying polynomial expressions?

The factor theorem helps in simplifying polynomial expressions by allowing us to factor the polynomial into its linear factors. This makes it easier to identify and cancel common factors, and ultimately simplifies the expression.

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