Answer:
(x - 1)(3x - 5)
Explanation:
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x-term.
product = 3 × 5 = 15 and sum = - 8
The factors are - 3 and - 5
use these factors to split the middle term
3x² - 3x - 5x + 5 ( factor the first/second and third/fourth terms )
= 3x(x - 1) - 5(x - 1) ( take out the common factor (x - 1) )
= (x - 1)(3x - 5)