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Otrada [13]
3 years ago
15

The volume of a rectangular box is found by multiplying its length, width, and height: V = lwh. A certain box has a volume of b3

+ 3b2 - 4b - 12. Factor the four-term polynomial to find the dimensions of the box. Hint: Use factoring by grouping to factor the four term polynomial first.
Mathematics
1 answer:
Zepler [3.9K]3 years ago
8 0

Answer:

  length, width, and height are (b+2), (b-2), (b+3)

Step-by-step explanation:

Doing what the problem statement tells you to do, you get ...

  (b^3 +3b^2) -(4b +12)

  = b^2(b +3) -4(b +3) . . . . . factor each pair of terms

  = (b^2 -4)(b +3) . . . . . . . . . write as a product

  = (b -2)(b +2)(b +3) . . . . . . use the factoring of the difference of squares

The three factors are (b-2), (b+2), and (b+3). We have no clue as to how to associate those with length, width, and height. We just know these are the dimensions of the box.

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A carton measures 3 feet by 2 feet by 2 feet. A machine can fill the carton with packing material in 3 seconds. How long would i
True [87]
1) we calculate the volume of the first carton:
volume=length x width x height
volume=3 ft * 2 ft * 2 ft=12 ft³

Therefore: 
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3 years ago
A circle has a circumference of 50.2450.2450, point, 24 units. What is the radius?
Free_Kalibri [48]

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Step-by-step explanation:

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8 0
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Read 2 more answers
Im going to give 15 points for this question please answer it
pochemuha
I think it is either 4.41 or 1.84 Sq Ft
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