Given the polynomial function f(x), find the rational zeros, then the other zeros (that is, solve the equation
), and factor f(x) into linear factors.f(x) = x3 + 3x2 + 9x + 27
A. -3, -3i, 3i; f(x) = (x + 3)(x + 3i)(x - 3i)
B. -3, -, multiplicity 2; f(x) = (x + 3)(x +
)2
C. -, multiplicity 2; 3i; f(x) = (x +
)2(x - 3i)
D. -3, 27i, 9i; f(x) = (x + 3)(x - 27i)(x - 9i)
Answer: A
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Simplify the expression. Assume that all variables represent positive numbers, so that no absolute value symbols are needed.
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Your answer should be a radical expression.
What will be an ideal response?
Write an equation for the lowest-degree polynomial function with the graph and intercepts shown in the figure.
A. f(x) = x2 - 6x + 5 B. f(x) = x2 + 5x - 6 C. f(x) = x2 + 5x + 6 D. f(x) = x2 + 6x + 5
Determine whether the equation defines y as a function of x. y = |x|
A. function B. not a function
Decide whether the integral converges. If the integral converges, compute its value.
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A.
B.
C.
D.
E. diverges