Respuesta :

3x2-8x+5
=6-8x+5
=6-3x-5x+5
=3(2-x)-5(x-1)

Answer:

[tex](x-1)(3x-5)[/tex]

Step-by-step explanation:

[tex]3x^2 - 8x + 5[/tex]

To factor it we use AC or splitting the middle term method

product is 3 times 5 is 15

Sum is -8

-3 times -5 is 15

-3 plus -5 is -8

Factors are -3 and -5

[tex]3x^2 -5x-3x+ 5[/tex]

Group first two terms and last two terms

[tex](3x^2 -5x)+(-3x+ 5)[/tex]

[tex]x(3x-5)-1(3x- 5)[/tex]

Factor out 3x-5

[tex](x-1)(3x-5)[/tex]