what is the GCF of the terms of 8c^3+12c^2+10c?
A ) 2
B ) 4
C ) 2c
D ) 4c
To find the greatest common factor (GCF) of the terms 8c^3, 12c^2, and 10c, we need to find the highest power of c that divides each term evenly.
First, let's divide each term by c to get the highest power of c.
8c^3 ÷ c = 8c^2
12c^2 ÷ c = 12c
10c ÷ c = 10
Now, let's find the GCF of 8c^2, 12c, and 10.
The GCF of 8c^2, 12c, and 10 is the highest common factor of their coefficients (8, 12, and 10) and the highest power of c (c^2, c, and 1) that divides each term evenly.
The highest common factor of the coefficients is 2.
The highest power of c that divides each term evenly is c (c^2, c, and 1).
Therefore, the GCF of 8c^3, 12c^2, and 10c is 2c.
The correct answer is: C) 2c