# Is it possible to factor #y=2x^2-10x+12 #? If so, what are the factors?

##### 1 Answer

Feb 18, 2016

2(x-2)(x-3)

#### Explanation:

first step is to remove the 'common factor'

# 2(x^2 - 5x + 6) #

now to factor the quadratic , require factors of 6 which sum to -5. These are -2 and -3.hence

# 2x^2 - 10x + 12 = 2(x-2)(x-3)#