Answer:
(2x - 1)(5x - 2)
Explanation:
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term, that is
product = 10 × 2 = 20 and sum = - 9
The factors are - 5 and - 4
Split the middle term using these factors
10x² - 5x - 4x + 2 (factor the first/second and third/fourth terms by grouping )
= 5x(2x - 1) - 2(2x - 1) ← factor out (2x - 1)
= (2x - 1)(5x - 2)