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:

$(3x-5) (x-1)$