We appreciate your visit to Complete the synthetic division problem below tex 2 longdiv 1 quad 5 quad 5 quad 14 tex What is the quotient in polynomial form A. 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 solve the synthetic division problem, let's break it down step-by-step to find the quotient of the polynomial division.
### Problem Understanding:
We are given a division where the polynomial is `x^2 + 5x - 14` and we are dividing it by `x - 2`. Synthetic division is a shorthand method used when dividing a polynomial by a binomial of the form `(x - c)`. In this case, `c` is `2`.
### Steps for Synthetic Division:
1. Set Up the Problem:
- Write down the coefficients of the dividend polynomial: `1 (for x^2)`, `5 (for x)`, and `-14` (the constant term).
- Put `2` (the root from `x - 2` = 0) on the left side.
2. Synthetic Division Process:
- Start by bringing down the leading coefficient `1` straight down below the line.
- Multiply `2` by this number and write the result under the next coefficient: `2 1 = 2`.
- Add this result to the next coefficient: `5 + 2 = 7`.
- Repeat the multiply and add: `2 7 = 14`, and `-14 + 14 = 0`.
3. Read the Result:
- The numbers below the line represent the coefficients of the quotient polynomial. In this case, they are `1` and `7` with a remainder of `0`.
- Therefore, the quotient is `x + 7`.
### Answer:
So, the quotient of the division is:
D. [tex]\( x + 7 \)[/tex]
This matches option D, showing that the quotient of the polynomial division is indeed [tex]\( x + 7 \)[/tex].
### Problem Understanding:
We are given a division where the polynomial is `x^2 + 5x - 14` and we are dividing it by `x - 2`. Synthetic division is a shorthand method used when dividing a polynomial by a binomial of the form `(x - c)`. In this case, `c` is `2`.
### Steps for Synthetic Division:
1. Set Up the Problem:
- Write down the coefficients of the dividend polynomial: `1 (for x^2)`, `5 (for x)`, and `-14` (the constant term).
- Put `2` (the root from `x - 2` = 0) on the left side.
2. Synthetic Division Process:
- Start by bringing down the leading coefficient `1` straight down below the line.
- Multiply `2` by this number and write the result under the next coefficient: `2 1 = 2`.
- Add this result to the next coefficient: `5 + 2 = 7`.
- Repeat the multiply and add: `2 7 = 14`, and `-14 + 14 = 0`.
3. Read the Result:
- The numbers below the line represent the coefficients of the quotient polynomial. In this case, they are `1` and `7` with a remainder of `0`.
- Therefore, the quotient is `x + 7`.
### Answer:
So, the quotient of the division is:
D. [tex]\( x + 7 \)[/tex]
This matches option D, showing that the quotient of the polynomial division is indeed [tex]\( x + 7 \)[/tex].
Thanks for taking the time to read Complete the synthetic division problem below tex 2 longdiv 1 quad 5 quad 5 quad 14 tex What is the quotient in polynomial form A. 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
