For this case we must factor the following expression:
[tex]3x ^ 2-8x + 5[/tex]
We rewrite the middle term as a sum of two terms whose product is
[tex]a * c = 3 * 5 = 15[/tex]
And whose sum is
[tex]b = -8[/tex]
These numbers are:
-5 and -3
So:
[tex]3x ^ 2-5x-3x + 5[/tex]
We factor the maximum common denominator of each group:[tex]x (3x-5) - (3x-5)[/tex]
We take common factor[tex](3x-5):[/tex]
[tex](3x-5) (x-1)[/tex]
Answer:
[tex](3x-5) (x-1)[/tex]
