Factor the expression completely.
?
4x4 + 1 + 3x2
?
A. (2x2 + x + 1) (2x2- x + 1)
B. (2x2 + x- 1) (2x2- x + 1)
C. (2x2 + x + 1) (2x2-x- 1)
D. (2x2-x + 1) (2x2-x + 1)
Answer: A
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Provide an appropriate response. If a quantity decreases 50%, is the new amount half the original amount? Explain your answer.
What will be an ideal response?
Factor the trinomial by grouping.8a3 + 10a2b - 12ab2 - 15b3
A. (8a2 - 3b2)(a + 5b) B. (2a2 - 3b)(4a + 5b) C. (2a2 - 3b2)(4a + 5b) D. (2a2 + 3b2)(4a - 5b)
Simplify the expression by combining like terms.9b - 5b + 4
A. -4b + 4 B. 8b C. 4b + 4 D. 14b + 4
Solve.A boat sailed a distance of 24 kilometers due south. It then banked to the left and sailed the second leg of the journey. Finally, it banked left again and sailed back to the starting point. The entire course was shaped like a right triangle with the 24-kilometer distance serving as the hypotenuse. The second leg of the journey was 7 kilometers longer than the final leg. How long were the second and third legs of the journey? Round your answers to the nearest hundredth of a kilometer, if necessary.
A. The second leg was 23.61 kilometers. The third leg was 9.61 kilometers. B. The second leg was 20.83 kilometers. The third leg was 13.83 kilometers. C. The second leg was 10.41 kilometers. The third leg was 6.91 kilometers. D. The second leg was 20.11 kilometers. The third leg was 13.11 kilometers.