Factor completely.x4 + 2x3y - 3x2y2
A. x2(x - 3y)(x - y)
B. x2(x - 3y)(x + y)
C. x2(x + 3y)(x - y)
D. x(x + 3y)(x - y)
Answer: C
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Find the extreme values of the function subject to the given constraint.
A. Maximum: 32 at 
minimum: -16 at 
B. Maximum: 16 at 
minimum: -16 at 
C. Maximum: 32 at 
minimum: -32 at 
D. Maximum: 16 at 
minimum: -32 at 
Solve the following equations for x:
3x a. ÄÄ = 9 c. 13 - 4x = 9 2 1 9 4 3 b. x + Ä = Ä d. Ä + Ä = 7 4 4 x 5
Solve.A 10-ft. board is cut into 2 pieces so that one piece is 2 feet longer than 3 times the shorter piece. If the shorter piece is x feet long, find the lengths of both pieces.
A. shorter piece: 2 ft; longer piece: 8 ft B. shorter piece: 6 ft; longer piece: 32 ft C. shorter piece: 5 ft; longer piece: 30 ft D. shorter piece: 28 ft; longer piece: 30 ft
Convert the equation to the standard form for a parabola by completing the square on x or y as appropriate.y2 - 4y - 6x + 34 = 0
A. (y + 2)2 = 6(x - 5) B. (y - 2)2 = 6(x - 5) C. (y - 2)2 = 6(x + 5) D. (y + 2)2 = -6(x - 5)