Solve.A box is constructed by cutting out square corners of a rectangular piece of cardboard and folding up the sides. If the cutout corners have sides with length x, then the volume of the box is given by the polynomial
Factor out the greatest common factor for this expression.
A. 4x(x2 - 18x + 45)
B. 4(x3 - 18x2 + 45x)
C. 4x(x2 + 18x + 45)
D. 2x(2x2 - 36x + 90)
Answer: A
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Factor the trinomial.z2 - 5z - 24
A. (z - 3)(z + 8) B. (z - 3)(z - 8) C. (z - 24)(z + 1) D. (z + 3)(z - 8)
The premises A, B, and C are followed by a conclusion. Check whether the resulting argument is valid or invalid.A. All people who laugh have fun.B. All people who have fun are content.C. Some people who stay up all night are content.All people who laugh are content.
A. Valid B. Invalid
Solve the problem.A rectangular garden measures 12.5 meters by 58.6 meters. What is its area?
A. 732.50 m2 B. 7325.0 m2 C. 622.50 m2 D. 71.1 m2
Solve the problem.Lauren scored 6 points in her basketball game on Monday, 8 on Wednesday, 10 on Friday, and 15 on Saturday. Find her total points scored for the week.
A. 24 points B. 39 points C. 40 points D. 38 points