Complete the synthetic division problem below. What is the quotient in polynomial form?
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Answer: OPTION C
Step-by-step explanation:
You need to follow these steps:
- Carry the number 1 down and multiply it by the number 2.
- Place the product obtained above the horizontal line, below the number 5 and add them.
- Put the sum below the horizontal line.
- Multiply this sum by the number 2.
- Place the product obtained above the horizontal line, below the number -14 and add them.
Then:
[tex]2\ |\ 1\ \ 5\ -14\\\\.\ \ |\ \ \ \ 2\ \ \ 14\\------\\.\ \ \ 1\ \ \ 7\ \ 0[/tex]
Therefore, the quotient in polynomial form is:
[tex]x+7[/tex]