Factor completely. If the polynomial is prime, state so.t3 + 1000
A. (t - 1000)(t + 1)(t - 1)
B. (t + 10)(t2 - 10t + 100)
C. (t + 10)(t2 + 100)
D. (t - 10)(t2 + 10t + 100)
Answer: B
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Find the first four nonzero terms in the Maclaurin series for the function.f(x) = x sin(4x)
A. 4x - x4 +
x6 -
x8 + . . .
B. 4x2 - x4 +
x6 -
x8 + . . .
C. 4x - 8x3 + x5 -
x7 + . . .
D. 4x2 + x4 +
x6 +
x8 + . . .
For the pair of functions, find the quotient (x) and give any x-values that are not in the domain of the quotient function.f(x) = 7x2 - 44x - 35, g(x) = x - 7
A. 7x + 5; x ? -7 B. 7x - 5; x ? 7 C. 7x + 5; x ? 7 D. 7x - 5; x ? -7
Decide whether the statement is true or false. If it is false, tell why.The equation (x - 7)2 - 22 = 0 has two irrational solutions.
A. True B. False; the equation has two rational solutions. C. False; the equation has exactly one real number solution.
Find the probability of the following card hands from a 52-card deck. In poker, aces are either high or low. A bridge hand is made up of 13 cards.In bridge, exactly 3 kings and exactly 3 queens
A. 0.00097 B. 0.00024 C. 0.00337 D. 0.00018