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.*

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Rewritten by : Barada

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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