Answer the question.Is it possible to have a polynomial function whose only zeros are 6 and i? If so, write such a function. If not, explain why.

A. Yes; P(x) = x2 - (6 - i)x - 6i is such a function.
B. No; the conjugate zeros theorem requires that -i must also be a zero.
C. Yes; P(x) = x2 - (6 + i)x + 6i is such a function.
D. No; the conjugate zeros theorem requires that -6 and -i must also be zeros.


Answer: C

Mathematics

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Determine the specific solutions (if any) to the equation on the interval [0, 2?).cos 2? = 

A.
B.
C.
D.

Mathematics

Factor, using the given factor. Assume all variables represent positive real numbers.4(2x - 1)-3/4 + 8(2x - 1)1/4 + 16(2x - 1)5/4; 4(2x - 1)-3/4

A. 4(2x - 1)-3/4(16x2 - 12x - 3) B. 8(2x - 1)-3/4(4x2 - 6x - 1) C. 8(2x - 1)-3/4(4x2 - 6x + 1) D. 4(2x - 1)-3/4(16x2 - 12x + 3)

Mathematics

Solve the problem.Rachel's bus leaves at 6:15 PM and accelerates at the rate of 3 meters per second per second. Rachel, who can run 6 meters per second, arrives at the bus station 6 seconds after the bus has left. Find parametric equations that describe the motions of the bus and Rachel as a function of time, and simulate the motion of the bus and Rachel by simultaneously graphing these equations.

A. Bus: x1 = 3t2, y1 = 1;
Rachel: x2 = 1(t - 6), y2 = 3

B. Bus: x1 = t2, y1 = 1;
Rachel: x2 = 6(t - 6), y2 = 3

C. Bus: x1 = t2, y1 = 1;
Rachel: x2 = 6(t + 6), y2 = 3

D. Bus: x1 = 3t2, y1 = 1;
Rachel: x2 = 6(t - 6), y2 = 3

Mathematics

Write a formula for the nth term of the geometric sequence.-3, -9, -27, -81, -243, . . .

A. an = a1 + 3n B. an = -3(3)n - 1 C. an = -3(3n) D. an = -3(3)n

Mathematics