After completing the synthetic division, the quotient in polynomial form is equal to: B. 2x² - 2x + 2.
What is synthetic division?
Synthetic division can be defined as a simplified and specialized method that is used for the division of a polynomial by another polynomial of the first degree (x - n).
Also, you should use only the coefficients of the divided polynonial and its divisor and change the sign of the constant term in the divisor, in order to replace subtraction with addition.
Next, we would set up the synthetic division as follows:
-3 | 2 4 -4 6
|_________________
↓ -6 6 -6
|_________________
2 -2 2 0
Quotient = 2 -2 2 ⇒ 2x² - 2x + 2.
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