Use Descartes' Rule of Signs to determine the possible number of positive real zeros and the possible number of negative real zeros for the function.P(x) = 5x5 - 5x4 + 7x3 - 8

A. 1 positive; 1 or 3 negative
B. 1 or 3 positive; 1 or 3 negative
C. 0, 2, or 4 positive; 0 negative
D. 1 or 3 positive; 0 negative


Answer: D

Mathematics

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Convert to polar coordinates. Express the answer in radians, using the smallest possible positive angle.(6, 6)

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Mathematics

Find the zeros of the polynomial function and state the multiplicity of each.f(x) = x4 - 20x2 + 64

A. x = -4, multiplicity 1; x = 4, multiplicity 1; x = -2, multiplicity 1; x = 2, multiplicity 1 B. x = 16, multiplicity 1; x = 4, multiplicity 1 C. x = 16, multiplicity 2; x = 2, multiplicity 1 D. x = 16, multiplicity 2; x = 4, multiplicity 2

Mathematics

Analyze the graph of the given function f as follows:(a) Determine the end behavior: find the power function that the graph of f resembles for large values of |x|.(b) Graph f using a graphing utility.(c) Find the x- and y-intercepts of the graph.(d) Use the graph to determine the local maxima and local minima, if any exist. Round turning points to two decimal places.(e) Use the information obtained in (a) - (d) to draw a complete graph of f by hand. Label all intercepts and turning points.(f) Find the domain of f. Use the graph to find the range of f.(g) Use the graph to determine where f is increasing and where f is decreasing.f(x) = x3 - 0.4x2 - 2.5861x + 3.0912

What will be an ideal response?

Mathematics

Express the rational number in reduced form. 

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Mathematics