Factor completely. If the polynomial cannot be factored, write "prime."16x4 + 56x3 - 32x2

A. 8x(2x + 1)(x - 4)
B. 8x2(2x - 1)(x + 4)
C. (16x2 - 8)(x2 + 4)
D. x2(2x - 1)(8x + 32)


Answer: B

Mathematics

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Provide an appropriate response.Is the following solution correct?100n3 = 25n100n2 = 2510n = ±5n =  or n = - 

What will be an ideal response?

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Rationalize the denominator. Assume all variables represent positive numbers.

A.
B.
C.
D.

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Given are the first three terms of a sequence that is arithmetic. Find a1 and d.-2, -3, -4

A. a1 = -2; d = 3 B. a1 = -2; d = -1 C. a1 = -2; d = -3 D. a1 = -2; d = -2

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Rotate the axes so that the new equation contains no xy-term. Discuss the new equation.x2 + 2xy + y2 - 8x + 8y = 0

A. ? = 36.9°
 +  = 1
ellipse
center (0, 0)
major axis is x'-axis
vertices at (±2, 0)
B. ? = 36.9°
 +  = 1
ellipse
center (0, 0)
major axis is x'-axis
vertices at (±2, 0)
C. ? = 45°
x'2 = -4y'
parabola
vertex at (0, 0)
focus at (0, -)
D. ? = 45°
y'2 = -4x'
parabola
vertex at (0, 0)
focus at (-, 0)

Mathematics