Answer:
See below
Explanation:
1. 7x + 21
factoring of 7 is only 1 and 7 (only two whole numbers that can be multiplied together to result in 7)
factoring of 21 is 1, 21 and 3, 7
greatest common factor is 7 (largest number that is in both factorings
there is no common factor for the variable since the second number has no variable.
So using GCF the equation can be written as 7 (x + 3)
2. x³ - 4x²
Factoring of 1 can only be 1
Factoring of 4 is 1, 4 and 2, 2 or 1, 2, 4
So GCF for the whole numbers is 1
The common factor for the variables would be x²
The equation can be rewritten as 1x² ( x - 4) or just x² ( x - 4)
3. 8x² - 24x + 12
Factoring 8 is 1, 8 and 2, 4
Factoring 24 is 1, 24 and 2, 12, and 3, 8 and 4, 6
Factoring 12 is 1, 12 and 2, 6 and 3, 4
The largest number that is in all 3 factorings is 4
Since the 3 numbers in the equation do not all have common variables, there is no GCF for the variable.
The equation can be rewritten as 4 ( 2x² - 6x + 3)