Answer:
(s - 1)(3s - 2)
Explanation:
3s² - 5s + 2
consider the factors of the product of the coefficient of the s² term and the constant term which sum to give the coefficient of the s- term.
product = 3 × 2 = + 6 and sum = - 5
the factors are - 3 and - 2
use these factors to split the s- term
3s² - 3s - 2s + 2 (factor the first/second and third/fourth terms )
= 3s(s - 1) - 2(s - 1) ← factor out (s - 1) from each term
= (s - 1)(3s - 2) ← in factored form