Question

What is the factorization of 3x2 – 8x + 5?

Answer 1

For this case we must factor the following expression:

`3x ^ 2-8x + 5`

We rewrite the middle term as a sum of two terms whose product is

`a * c = 3 * 5 = 15`

And whose sum is

`b = -8`

These numbers are:

-5 and -3

So:

`3x ^ 2-5x-3x + 5`

We factor the maximum common denominator of each group:
`x (3x-5) - (3x-5)`

We take common factor
`(3x-5):`

`(3x-5) (x-1)`

Answer:

`(3x-5) (x-1)`