what are the possible expression for the dimensions of the cuboid whose volume is 3x^2-12x
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Answered by
9
I think you're probably being asked to factor these expressions
fully, but really, there are an infinite number of possible expressions
for the dimensions. For example:
(3x2 - 12x), (1/x), and (x) are possible dimensions of the first cuboid
(3x2 - 12x), (x4-19), and (1/(x4-19)) are possible dimensions as well
But let's ignore that and just fully factor each expression for volume.
1.
3x2 - 12x
3(x2 - 4x)
3x(x - 4)
There are only three factors, so there is only one combination of possible dimensions:
3, x, and (x - 4)
2.
12ky2 + 8ky - 20k
4(3ky2 + 2ky - 5k)
4k(3y2 + 2y - 5)
4k(3y + 5)(y - 1)
Now we've got four factors, so there are several combinations of possible dimensions:
4, k, and (3y2 + 2y - 5)
4, (3y + 5), and (ky - k)k, (3y + 5), and (4y - 4)
4, (y - 1), and (3ky + 5k)
k, (y - 1), and (12y + 20)
(3y + 5), (y - 1), and 4k
Answered by
18
Hii there!!
Plz refer to the attachment for the answer....
Hope it helps....
Plz refer to the attachment for the answer....
Hope it helps....
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Sanskriti141:
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