Factor completely. If the polynomial is prime, state so.243x3y6 - 225x6y3

A. 9x3y3(3y + 5x)(9y2 - 15xy + 25x2)
B. 9x3y3(3y - 5x)(9y2 + 15xy + 25x2)
C. 9x3y3(27y3 - 25x3)
D. 9(3xy2 + 5x2y)(9x2y4 - 15x3y3 + 25x4y2)


Answer: C

Mathematics

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Solve the problem.Evaluate  at (u, v) = (2, 2) for the function z = xy2 - ln x; x = eu+v, y = uv.

A. 32e4 - 1 B. 24e4 - 1 C. -1 D. 48e4 - 1

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Use the FOIL method to find the products.(4x + 7)(x + 2)

A. x2 + 14x + 15 B. 4x2 + 14x + 14 C. 4x2 + 15x + 14 D. x2 + 15x + 14

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Solve.Find the product of 15 and 307.

A. 4612 B. 4605 C. 4598 D. 555

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Solve the problem involving modeling with polynomial functions.For this problem, y-values given correspond to the number of graduates at School X over the years 1990 (x = 0), through 1994 (x = 4). (a) Use the data given in the table below to determine a quartic (fourth-degree) polynomial model.  (b) Based on the quartic model, how many graduates were at School X in 1991?

A. (a) y ? 7.291x4 - 56.58x3 + 126.708x2 - 73.41+ 674;
(b) 
678 graduates
B. (a) y ? 7.291x4 - 85.75x3 + 340.208x2 - 525.75x + 938;
(b) 
674 graduates
C. (a) y ? 1.750x3 - 16.00x2 + 30.75x + 671.5;
(b) 657 graduates

D. (a) y ? 1.750x3 - 16.00x2 + 30.75x + 671.5;
(b) 
688 graduates

Mathematics