Question

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

Answer 1

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

Answer 2

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

Explanation:

`3x^2 - 8x + 5`

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

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

Group first two terms and last two terms

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

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

Factor out 3x-5

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