Solve the polynomial equation in the complex numbers. x4 + 3x3 - 5x2 - 9x - 2 = 0
A. {-1, 2, -2 + , -2 -
}
B. {1, -2, -2 + , -2 -
}
C. {-1, -2, -2 + , -2 -
}
D. {-1, 3, -2 + , -2 -
}
Answer: A
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Find the partial fraction decomposition for the rational expression.
A. +
B. -
C. -
D. -
Factor completely, or state that the polynomial is prime.9x5 - 9x
A. 9x(x2 + 1)(x + 1)(x - 1) B. 9x(x4 + 1)(x2 + 1)(x + 1)(x - 1) C. 9x(x2 + 1)(x2 - 1) D. prime
Find the x-intercepts of the polynomial function. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept. f(x) = x3 + 10x2 + 33x + 36
A. -3, touches the x-axis and turns around; -4, crosses the x-axis. B. -3, crosses the x-axis; -4, touches the x-axis and turns around C. 3, crosses the x-axis; -3, touches the x-axis and turns around; -4, crosses the x-axis. D. 3, crosses the x-axis; -3, crosses the x-axis; -4, crosses the x-axis.
Perform the indicated operations.13 + 13 - (4 + 3)
A. 19 B. -7 C. -1 D. 25