The quotient in polynomial form is C. x² - x ₊ 1.
<h3>What is synthetic division?</h3>
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
<u>| -3 3 3 </u>
|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 :
brainly.com/question/12642065
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A = area of the circle
A = pi*r^2
A = pi*11^2
A = 121pi
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B = area of the rectangle
B = length*width
B = 6*4
B = 24
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C = blue shaded area
C = A - B
C = 121pi - 24 which is the exact area in terms of pi
C = 356.1327 is what you'd get if you used a calculator
C = 356.13 is the result after rounding to the nearest hundredth
<h3>The final answer is 356.13</h3>