Factor f(x) into linear factors given that k is a zero of f(x).f(x) = 2x3 - 3x2 - 5x + 6; k = 1

A. (x - 1)(x + 2)(2x - 3)
B. (x - 1)(x - 2)(2x + 3)
C. (x + 1)(x + 2)(2x - 3)
D. (x - 1)(x + 1)(2x - 6)


Answer: B

Mathematics

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Find the first four terms of the binomial series for the given function.1/3

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

Mathematics

Solve the problem.The city council gave a questionnaire to its citizens, asking them to rank their priorities for next year's budget. People were asked to rank the following four choices: (P)olice, (R)oads, (S)chools, and (T)rash removal. The results are summarized in the table below.Which option is selected using the plurality method?

A. R B. T C. S D. P

Mathematics

Evaluate

Mathematics

Find the center, foci, and vertices of the ellipse.36(x + 1)2 + 25(y - 2)2 = 900

A. center at (1, 2)
foci at (1, 2 - ), (1, 2 + )
vertices at (1, 8), (1, -4)
B. center at (2, -1)
foci at (2, -1 - ), (2, -1 + )
vertices at (2, 8), (2, -4)
C. center at (0, 2)
foci at (0, 2 - ), (0, 2 + )
vertices at (0, 8), (0, -4)
D. center at (-1, 2)
foci at (-1, 2 - ), (-1, 2 + )
vertices at (-1, 8), (-1, -4)

Mathematics