For the polynomial, list each real zero and its multiplicity. Determine whether the graph crosses or touches the x-axis at each x -intercept.f(x) = 3(x2 + 4)(x + 2)2

A. -4, multiplicity 1, crosses x-axis; -2, multiplicity 2, touches x-axis
B. -2, multiplicity 2, crosses x-axis
C. -2, multiplicity 2, touches x-axis
D. -4, multiplicity 1, touches x-axis; -2, multiplicity 2, crosses x-axis


Answer: C

Mathematics

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Use integration by parts to establish a reduction formula for the integral., n ? 1

A.  = cscn-2 x cot x - 
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List all possible outcomes for the experiment.A prime number less than 15 is randomly chosen.

A. 2, 3, 5, 7, 11, 13, 17 B. 2, 3, 5, 7, 11, 13 C. 15 D. 2, 3, 5, 7, 11, 13, 15

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A. 5000 B. 600 C. 50 D. 500

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Solve.An arch in the shape of the upper half of an ellipse is used to support a bridge spanning a creek 30 feet wide. The center of the arch is 9 feet above the center of the creek. Write the equation for the ellipse in which the x-axis coincides with the road and the y-axis passes through the center of the arch.

A.  +  = 1
B.  +  = 1
C.  +  = 1
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