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)
Answers
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,,,