Answer :
Answer:
C
Step-by-step explanation:
set ×+7=0, then subtract 7 over to get -7
set it up with -7 on the outside, then you take the leading coefficient from 6x^2-x+5
which are 6, -1, and 5
*remember when X is by itself, it always has a 1 in front of it.*
The division problem [tex]\frac{6x^2-x+5}{x+7}[/tex] in synthetic division form,
[tex]-7|\overline{6~~-1~~5}[/tex]
The correct answer is an option (C)
What is synthetic division?
"It is a way of dividing one polynomial by another polynomial of first degree."
What is dividend?
"The value that is divided by another value to get the result. "
What is divisor?
"The value that divides another number either completely or with a remainder."
For given question,
We have been given a polynomial division problem.
[tex]\frac{6x^2-x+5}{x+7}[/tex]
We need to write above problem in synthetic division form.
To perform synthetic division, here are the steps:
- The leading coefficient of the divisor should also be 1.
- Express the dividend in standard form.
- Write the leading coefficient in the dividend.
- Place the product of the number you brought down and the number in the division box in the preceding column.
- Write the result at the bottom of the row.
So, the division problem [tex]\frac{6x^2-x+5}{x+7}[/tex] in synthetic division form,
[tex]-7|\overline{6~~-1~~5}[/tex]
Therefore, the correct answer is an option (C)
Learn more about the synthetic division here:
https://brainly.com/question/11850611
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