Question

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

Answer 1

Answer:

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

Step-by-step 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

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

Answer 2

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