We appreciate your visit to What is the remainder in the synthetic division problem below tex 1 longdiv 46 2 tex A 7 B 8 C 6 D 9. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To find the remainder when dividing the polynomial by the divisor using synthetic division, follow these steps:
1. Identify the Coefficients and the Root:
- The polynomial is represented by the coefficients `4`, `6`, and `-2`.
- Since we are dividing by [tex]\(x - 1\)[/tex], the root we use for synthetic division is `1`.
2. Set Up Synthetic Division:
- Write the root (`1`) on the left side.
- Write the coefficients `4`, `6`, `-2` in a row.
3. Perform Synthetic Division:
- Bring down the leading coefficient `4` below the line.
- Multiply this `4` by the root (`1`), giving `4`, and place this value under the next coefficient (`6`).
- Add `6` and `4` to get `10`. Write `10` below the line.
- Multiply `10` by the root (`1`), giving `10`, and place it under the next coefficient (`-2`).
- Add `-2` and `10` to get `8`. Write `8` below the line.
4. Read the Results:
- The numbers below the line represent the new coefficients of the quotient polynomial.
- The last number written under the line, `8`, is the remainder.
Therefore, the remainder of the synthetic division is `8`.
So the correct answer is:
B. 8
1. Identify the Coefficients and the Root:
- The polynomial is represented by the coefficients `4`, `6`, and `-2`.
- Since we are dividing by [tex]\(x - 1\)[/tex], the root we use for synthetic division is `1`.
2. Set Up Synthetic Division:
- Write the root (`1`) on the left side.
- Write the coefficients `4`, `6`, `-2` in a row.
3. Perform Synthetic Division:
- Bring down the leading coefficient `4` below the line.
- Multiply this `4` by the root (`1`), giving `4`, and place this value under the next coefficient (`6`).
- Add `6` and `4` to get `10`. Write `10` below the line.
- Multiply `10` by the root (`1`), giving `10`, and place it under the next coefficient (`-2`).
- Add `-2` and `10` to get `8`. Write `8` below the line.
4. Read the Results:
- The numbers below the line represent the new coefficients of the quotient polynomial.
- The last number written under the line, `8`, is the remainder.
Therefore, the remainder of the synthetic division is `8`.
So the correct answer is:
B. 8
Thanks for taking the time to read What is the remainder in the synthetic division problem below tex 1 longdiv 46 2 tex A 7 B 8 C 6 D 9. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
