Question

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

Answer 1

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