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adelina 88 [10]
3 years ago
13

What is the greatest common factor of the terms in the polynomial 12x4 + 27x3 + 6x2?

Mathematics
2 answers:
GenaCL600 [577]3 years ago
8 0
To solve for the greatest common factor, ask yourself what is the largest number that you can divide in all 3 numbers, in this case would be 3.

12/3 = 4
27/3 = 9
6/3 = 2.

Then find the largest common variable you can evenly divided in all 3 terms, this would be x^2.

X^4/x^2 = X^2
X^3/X^2 = X^1
X^2/x^2 = x^0 = 1.

Put the 2 together, and you have your GCF. 3X^2 is your GCF.
Talja [164]3 years ago
5 0
It must be three
12×4÷3=16
27×3÷3=27
6×2÷3=4
16,27,4 are the simplest form possible so ans is 3.
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Two rectangles are similar. The length and width of the first rectangle is 4 m by 5 m. The second rectangle is similar by a scal
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<h3>Answer:  320 square meters</h3>

===================================================

Explanation:

The scale factor 4 means the dimensions of the second rectangle are 4 times larger.

The width of 4 meters bumps up to 4*4 = 16 meters.

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So a 4 by 5 rectangle is similar to a 16 by 20 rectangle.

The area of the second rectangle is therefore 16*20 = 320 square meters.

---------------

As an alternative, you can compute the area of the 4 by 5 rectangle to get 4*5 = 20. Then multiply this with 4^2 = 16 to get 16*20 = 320.

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