Question

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

Answer 1

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)`