Use synthetic division to divide f(x) by x - c, and then write f(x) in the form f(x) = (x - c)q(x) + r.f(x) = x5 + 8x4 + 9x3 - 16x2 + 14x + 15; x + 6

A. (x + 6)(x4 + 2x3 - 3x2 + 2x - 2) + 5
B. (x + 6)(x4 + 2x3 - 3x2 + 2x + 3) + 0
C. (x + 6)(x4 + 2x3 - 3x2 + 2x + 2) + 3
D. (x + 6)(x3 + 2x2 - 3x + 2) + 3


Answer: C

Mathematics

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A. 0.900 B. 0.044 C. 0.527 D. 0.473

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Factor and simplify.sin2 x + sin2 x cot2 x

A. cot2 x - 1 B. 1 C. sin2 x + 1 D. cot2 x + 1

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Provide an appropriate response. Find the area of a triangular garden plot if two sides measure 14 ft and 18 ft and the included angle measures 52°.

A. 49.64 ft2  B. 77.57 ft2  C. 198.6 ft2 D. 99.29 ft2

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Determine whether the sequence defined by converges or diverges. If it converges, find its limit.

What will be an ideal response?

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