Find the first four terms of the binomial series for the given function.(1 + 7x)1/3

A. 1 + x + x2 + x3
B. 1 + x - x2 + x3
C. 1 + x - x2 + x3
D. 1 - x + x2 - x3

Answer: C

Mathematics

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Factor out the greatest common factor.x(x + 14) + 8(x +14)

A. (x2 + 14x) + (8x + 112) B. 8x(x +14) C. 14x(x + 8) D. (x +14)(x + 8)

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Find the product.(x2y2 + 3)2

A. x4y4 + 9 B. x4y4 + 3x2y2 + 9 C. x2y2 + 6xy + 9 D. x4y4 + 6x2y2 + 9

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Find all values of x satisfying the given conditions.y = (x2 - 2x)2 - 11(x2 - 2x) and y = -24

A. - 1, - 2, 3, 8, 3, 4 B. - 1, - 2, 3, 4 C. 3, 8 D. 3, 4

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Identify the interval where f is increasing or decreasing, as indicated. Express your answer in interval notation.f(x) = -2x2 + 8x; increasing

A. [-2, ?) B. (-?, 2] C. [2, ?) D. (-?, -2]

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Mathematics