Factor the polynomial completely.x3 - 2x2 - 36x + 72

A. (x + 2)(x + 6)(x - 6)
B. (x - 2)(x - 6)2
C. (x - 2)(x + 6)(x - 6)
D. prime


Answer: C

Mathematics

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The first derivative f ' is given. Find all values of x that make the function a local minimum and a local maximum.f'(x) = (x - 4)2(x + 8)

A. Local maximum at x = 4 B. Local minimum at x = -8 C. Local minimum at x = -8; local maximum at x = 4 D. Local minimum at x = -8; local maximum at x = -4 and 4

Mathematics

Solve.Given that a1 = -4, a2 = -4 and an+2 = an+1 - 4an, what is the fifth term of this recursively defined sequence?

A. a5 = 764 B. a5 = -20 C. a5 = -308 D. a5 = 28

Mathematics

Determine the intervals on which the following polynomial is entirely negative and those on which it is entirely positive. -x2 - 6x + 7

a. entirely negative: entirely positive:
b.entirely negative: entirely positive:
c. entirely negative: entirely positive:
d. entirely negative: entirely positive:

e. entirely negative: entirely positive:

Mathematics

Find all cube roots of the complex number. Leave answers in trigonometric form.4 - 4i

A.  cis 100°,  cis 220°,  cis 340°
B.  cis 60°,  cis 180°,  cis 300°
C.  cis 80°,  cis 200°,  cis 320°
D.  cis 100°,  cis 220°,  cis 340°

Mathematics