Answer:
Option A
6x²(x² - 3x + 2)
Step-by-step explanation:
6x⁴ - 18x³+12x²
Step 1
Find the greatest common factor if the coefficient
6, 18, 12
The factors of 6 are: 1, 2, 3, 6
The factors of 12 are: 1, 2, 3, 4, 6, 12
The factors of 18 are: 1, 2, 3, 6, 9, 18
Then the greatest common factor is 6.
Step 2
Find the greatest common factor of the variables
x⁴ , x³, x²
x⁴ = x × x × x × x
x³ = x × x × x
x² = x × x
The greatest common factor = x²
Step 3
Combine both Greatest Common Factor for coefficient and variables
6 × x²
= 6x²
Step 4
We factorise
6x⁴ - 18x³+12x²
6x²(x² - 3x + 2)
The greatest common factor is 6x²(x² - 3x + 2)
