Answer :

The quotient in polynomial form is C. x² - x ₊ 1.

What is synthetic division?

In algebra, synthetic division is a method for manually performing Euclidean division of polynomials, with less calculation than long division.

The given problem is-

-3 | 1 2 -2 3

Using synthetic division method,

-3 | 1 2 -2 3

| -3 3 3

|1 -1 1 6

So, the remainder from the calculation is 6 .

And the quotient polynomial is x² - x ₊ 1.

Hence, the correct answer for the given question is C. x² - x ₊ 1

More about Synthetic division method :

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