Question

How do you factor `5x^2-50x+120` completely?

Answer 1

`5(x-4)(x-6)`

Explanation:

`5x^2-50x+120`

`5(x^2-10x+24)`

`5(x-4)(x-6)`

Answer 2

See a solution process below:

Explanation:

First, we can factor a `5` out of each term in the expression:

`(5 * x^2) - (5 * 10x) + (5 * 24) =>`

`5(x^2 - 10x + 24)`

Next, we can play with pairs of factors for `24` (1 x 24; 2 x 12; 3 x 8; `color(red)(4)` x `color(blue)(6)`) which add to `10` to factor the expression within the parenthesis as:

`5(x - 4)(x - 6)`