Completely factor 4a^2-12a+8

4 (a - 2) (a - 1)

Step-by-step explanation:

4a^2 - 12a + 8 =

First, factor out a common factor from all terms.

= 4 (a^2 - 3a + 2)

To factor a^2 - 3a + 2, you need two numbers whose product is 2 and whose sum is - 3. Since the product is a positive number, 2, the two numbers are either both positive or both negative. Since the sum is negative, - 3, then both numbers must be negative. The two numbers are - 1 and - 2.

= 4 (a - 2) (a - 1)

4 (a-1) (a-2)

Step-by-step explanation:

take out 4 (common factor)

4 (a^2-3a+2)

then use box method to factor

a - 1

a a^2 - a

-2 - 2a 2

4 (a-1) (a-2)