Factor out the greatest common factor.21x4 - 9x3 + 12x2

A. x2(21x2 - 9x + 12)
B. 3x(7x3 - 3x2 + 4x)
C. 3(7x4 - 3x3 + 4x2)
D. 3x2(7x2 - 3x + 4)


Answer: D

Mathematics

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Find the standard-form equation of the hyperbola centered at the origin which satisfies the given conditions.Asymptotes y = x, y = - x; one vertex is (0, 22)

A.  -   = 1
B.  -   = 1
C.  -   = 1
D.  -   = 1

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Provide an appropriate response. Under which of the following conditions of k will this quadratic, x2 + kx + 36 = 0, have one real root?

A. k = 6, -6 B. k = 12 C. k = 12, -12 D. k = 6

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Use the unit circle to determine the value of the given expression or state that it is undefined.sec (-90°)

A. -1 B. 1 C. 0 D. undefined

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Provide the appropriate response.How many twin prime pairs can be found from the numbers less than 100?

A. 9 B. 10 C. 8 D. 7

Mathematics