Find the Area of the Shaded Region $121 x ^ { 2 } - 3 x - 100$

Multiple Choice

Find the area of the shaded region. Write the answer as a polynomial in descending powers of x.
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A) $121 x ^ { 2 } - 3 x - 100$
B) $118 x ^ { 2 } + 100$
C) $118 x ^ { 2 } - 100$
D) $124 x ^ { 2 } - 100$