Factor completely. State that the polynomial is prime if it cannot be factored.a3b - 6a2b2 + 8ab3
A. ab(a - 8b)(a - b)
B. a(ab - 2)(ab - 4)
C. ab(a - 2b)(a - 4b)
D. ab(a - 2b)(a + 4b)
Answer: C
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Solve the problem.A long strip of sheet metal 12 inches wide is to be made into a small trough by turning up two sides at right angles to the base. If the trough is to have maximum capacity, how many inches should be turned up on each side?
A. 4 in. B. 3 in. C. 4 in. on one side, 5 in. on the other D. 6 in.
Evaluate the integral.
dx
A. - 
cot2 x - 
ln 
+ C
B. 
cot4 x sec x + C
C. 
cot4 x + C
D. 
cot2 x + ln 
+ C
Find the magnitude of u × v and the unit vector parallel to u × v in the direction of u × v.u = 5i, v = 6j
A. 30; 30k B. 30; k C. 5; 6k D. 30; -k
Use an Euler diagram to determine whether the argument is valid or invalid.Some cars are considered sporty.Some cars are safe at high speeds.? Some sports cars are safe at high speeds.
A. Invalid B. Valid