Use the given zero to write P(x) as a product of linear and irreducible quadratic factors.P(x) = x5 + 9x4 + 56x3 + 324x2 + 720x + 432, zero: 6i
A. (x + 1)(x + 2)(x + 6)(x2 + 36)
B. (x + 1)(x - 2)(x - 6)(x2 + 36)
C. (x - 1)(x + 2)(x + 6)(x2 + 36)
D. (x + 1)(x + 2)(x + 6)(x + 6)(x - 6)
Answer: A
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Evaluate the geometric series or state that it diverges. +
2 +
3 +
4 +
5 + . . .
A.
B.
C.
D. diverges
Solve the problem.A rotating beacon is located a distance d from a long wall. The distance d is given by , where t is the time measured in seconds since the beacon started rotating. Solve the equation for t.
A. t = 2? arctan
B. t = tan
C. t = arctan
D. t = 2? tan
The hyperbola shown in the calculator-generated graph was graphed in function mode with a square viewing window. What are the two functions y1 and y2 that were used to obtain the graph whose equation is given?10
-10
A. y1 = , y2 = -
B. y1 = , y2 = -
C. y1 = , y2 = -
D. y1 = , y2 = -
Solve the logarithmic equation algebraically.
a. 1,000 b. 1,000,000 c. 10,000 d. 100,000