Find the quotient and the remainder.7x3 + 24x2 - 12x + 16 divided by x + 4

A. x2 + 5x + 6; remainder 0
B. 7x2 + 4x + 4; remainder 0
C. x2 + 4x + 7; remainder 0
D. 7x2 - 4x + 4; remainder 0


Answer: D

Mathematics

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The position vector of a particle is r(t). Find the requested vector.The acceleration at t =  for r(t) = (4 sin 2t)i  - (5 cos 2t)j + (3 csc 2t)k

A. a = -16i + 12k
B. a = 20j + 12k
C. a = 16i + 12k
D. a = -16i - 12k

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Subtract and write the resulting polynomial in descending order of degree.(2x5 - 4x4 + 8x2 - 8x + 10) - (13x5 + x3 - 4x2 - 3x + 1)

A. -11x5 - 4x4 + x3 + 11x2 + 5x - 9 B. 11x5 - 4x4 - x3 - 4x + 10 C. -11x5 - 4x4 - x3 + 12x2 - 5x + 9 D. -11x5 - 4x4 + x3 + 4x2 - 11x + 11

Mathematics

Multiply using the distributive property.-3(x - 9)

A. -3x + 9 B. -3x + 27 C. -27x D. 3x + 27

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The slope of a line is given. Determine the slope of the line parallel to the line whose slope is given.m = 3

A. m = -  
B. m = 
C. m = 3
D. m = -3

Mathematics