Answer :
The problem you provided seems to have multiple polynomial expressions and potential remainders, suggesting a connection with polynomial division. Unfortunately, the information about what exactly needs to be solved is not clear.
Given the situation, I'll provide a step-by-step explanation of how you typically approach problems involving polynomials and synthetic division:
1. Identify the Polynomial Division Problem: Normally, when you are dividing polynomials, you might use synthetic division or long division, especially if you are given a polynomial and asked to divide by a linear factor.
2. Choosing the Divider: If the problem involves synthetic division, the divisor should generally be in the form [tex]\(x - c\)[/tex], where [tex]\(c\)[/tex] is a constant. In synthetic division, you use this [tex]\(c\)[/tex] to perform the division process.
3. Setting up Synthetic Division:
- Write down the coefficients of the polynomial in order.
- Use the root (like for [tex]\(x - c\)[/tex], use [tex]\(c\)[/tex]) for the synthetic division process.
4. Performing Synthetic Division:
- Drop the first coefficient down as it is.
- Multiply this coefficient by [tex]\(c\)[/tex] and add it to the next coefficient, writing the result below.
- Repeat this step for each coefficient until the end.
- The last number you obtain after the process is the remainder of the division.
5. Interpreting Results:
- The numbers you write below the line (except for the last remainder) represent the coefficients of the resulting polynomial, which is the quotient.
- The remainder tells you what's left over after division.
6. Understanding Remainders: The remainder can indicate if a certain polynomial can cleanly divide another. If the remainder is zero, then the divisor is a factor of the polynomial.
Unfortunately, without more specific information about which polynomial needs to be divided by which divisor, I can't give an exact solution to your question. It seems that the numerical result is indicating that the problem needs to be further defined or that more specific instructions are needed for a detailed solution. If you have any further details or a specific part of the problem to focus on, feel free to ask!
Given the situation, I'll provide a step-by-step explanation of how you typically approach problems involving polynomials and synthetic division:
1. Identify the Polynomial Division Problem: Normally, when you are dividing polynomials, you might use synthetic division or long division, especially if you are given a polynomial and asked to divide by a linear factor.
2. Choosing the Divider: If the problem involves synthetic division, the divisor should generally be in the form [tex]\(x - c\)[/tex], where [tex]\(c\)[/tex] is a constant. In synthetic division, you use this [tex]\(c\)[/tex] to perform the division process.
3. Setting up Synthetic Division:
- Write down the coefficients of the polynomial in order.
- Use the root (like for [tex]\(x - c\)[/tex], use [tex]\(c\)[/tex]) for the synthetic division process.
4. Performing Synthetic Division:
- Drop the first coefficient down as it is.
- Multiply this coefficient by [tex]\(c\)[/tex] and add it to the next coefficient, writing the result below.
- Repeat this step for each coefficient until the end.
- The last number you obtain after the process is the remainder of the division.
5. Interpreting Results:
- The numbers you write below the line (except for the last remainder) represent the coefficients of the resulting polynomial, which is the quotient.
- The remainder tells you what's left over after division.
6. Understanding Remainders: The remainder can indicate if a certain polynomial can cleanly divide another. If the remainder is zero, then the divisor is a factor of the polynomial.
Unfortunately, without more specific information about which polynomial needs to be divided by which divisor, I can't give an exact solution to your question. It seems that the numerical result is indicating that the problem needs to be further defined or that more specific instructions are needed for a detailed solution. If you have any further details or a specific part of the problem to focus on, feel free to ask!
