Question

What is the factorization of 3x2 - 8x + 5?
O (3x - 1)(x + 5)
0 (3x + 5)(x - 1)
O (3x - 1)(x - 5)
O (3x - 5)(x - 1)​

Answer 1

Answer: (3x - 5)(x - 1)​

Step-by-step explanation:

3x^2 - 8x + 5

a=3 b= -8 c=5 note that the square of negative number is positive that written mathematically as (-n)^2 = n^2

From the formula method x= (-b + or – √∆)/2a. Where ∆ = b^2 – 4ac

= (-8)^2 – 4(3×5)

= [(-1)^2×8^2] – (4×15)

= (1×64) – 60

= 64 – 60

= 4

Then substitute the values of a,b,c,∆ in the formula above

That is x = (-(-8) + or – √4)/2×3

=> x= (8 + 2)/6 OR x= (8 – 2)/6

=> x = 10/6 OR x= 6/6

=> x = 5/3 OR x = 1

=> 3x = 5 OR x = 1

When a number crosses the equal sign it changes its sign

=> (3x – 5)(x – 1)

Hope my explanation have helped you

It was really interesting,,,