Use Descartes' Rule of Signs and the Rational Zeros Theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers. f(x) = 4x4 - 8x3 + 5x2 - 2x + 1
A. no real roots; f(x) = (x2 + 1)(4x2 + 1)
B. -1, multiplicity 2; f(x) = (x + 1)2(4x2 + 1)
C. -1, 1; f(x) = (x - 1)(x + 1)(4x2 + 1)
D. 1, multiplicity 2; f(x) = (x - 1)2(4x2 + 1)
Answer: D
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Use the given zero to completely factor P(x) into linear factors.Zero: -2i; P(x) = 3x4 - 20x3 + 44x2 - 80x + 128
A. (x + 4)(x + 2i)(x - 2i)
B. (x - 4)(x + 4i)(x - 4i)
C. (x - 4)(x + 2i)(x - 2i)
D. (x - 4)(x + i)(x - i)
Graph the piecewise function.f(x) =
A.
B.
C.
D.
Graph y = f(x). Compare the graph to the graph of y = log x.y = log(x) + 2
A. Shifted 2 unit(s) to the right
B. Shifted 2 unit(s) to the left
C. Shifted 2 unit(s) downward
D. Shifted 2 unit(s) upward
Solve the problem.If the length, width, and height of a rectangular solid are measured to be 10, 2, and 7 inches respectively and each measurement is accurate to within 0.1 inch, estimate the maximum possible error in computing the volume of the solid.
A. 1300.00 B. 1155.56 C. 866.67 D. 1040.00