Option (C) 7| 6 1 0 -3 is shows the division problem (6x³ + x²-3)÷ (x-7) in synthetic division form option (C) is correct.
What is synthetic division?
In the case of dividing by a linear factor, the synthetic division is a shorthand, or quicker, to the technique of polynomial division.
We have a polynomial (6x³ + x² - 3) which is divided by (x - 7)
= (6x³ + x² - 3)÷ (x-7)
or
= (6x³ + x² + 0x - 3)÷ (x-7)
To divide the above polynomial with (x - 7)
First, we need to write the coefficient of the x and constant in list form:
6 1 0 -3
Now x -7 = 0 ⇒ x = 7
The divisor will be 7
7| 6 1 0 -3
Thus, option (C) 7| 6 1 0 -3 is shows the division problem (6x³ + x²-3)÷ (x-7) in synthetic division form option (C) is correct.
Learn more about the synthetic division here:
brainly.com/question/11850611
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