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(picture) Factoring Polynomials: GCF PLEASEE HELP!!!!!
a
b
c
d

(picture) Factoring Polynomials: GCF PLEASEE HELP!!!!! a b c d-example-1
User Andrybak
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1 Answer

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For this case we must find the greatest common factor of both expressions, the GFC will be the greatest number that is a factor of both numbers, that is:

The number 4 is the greatest number that divides 32 and 12 resulting in a whole number.


\frac {32} {4} = 8\\\frac {12} {4} = 3

In addition, both expressions have as a common factor,
a ^ 2:


4a ^ 2 (8a + 3)

Thus,
32a ^ 3 + 12a ^ 2 = 4a ^ 2 (8a + 3)

Answer:


4a ^ 2 (8a + 3)

Option A


User Ponml
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