A polynomial P(x) and a divisor d(x) are given. Use long division to find the quotient Q(x) and the remainder R(x) when P(x) is divided by d(x), and express P(x) in the form d(x)? Q(x) + R(x).P(x) = 3x3 - x2 + 2x + 6d(x) = x + 1
A. (x + 1)(3x2 - 4x + 2) + 8
B. (x + 1)(3x2 + 2x) + 6
C. (x - 1)(3x2 + 2x) + 6
D. (x + 1)(3x2 - 4x + 6) + 0
Answer: D
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Simplify.log3 32
A. 2log33 B. 1 C. 32 D. 2
Provide an appropriate response.Examine the discriminant and find the roots of the equation, rounding to the nearest tenth if necessary: 5x2 - 6x = -5
A. x = 0.6 ± 1.17i B. x = 0.6 ± 0.8i C. x = 1.4, -0.2 D. x = 3 ± 4i
Use the limit comparison test to determine if the series converges or diverges.
A. Diverges B. Converges
Write one or more inequalities that describe the set of points.The interior of the sphere of radius 3 centered at the point (-5, -2, 5)
A. (x + 5)2 + (x + 2)2 + (x - 5)2 < 9 B. (x - 5)2 + (x - 2)2 + (x + 5)2 ? 9 C. (x - 5)2 + (x - 2)2 + (x + 5)2 > 9 D. (x + 5)2 + (x + 2)2 + (x - 5)2 > 9