Answer:
x (x - 5) (2x + 1)
Explanation:
Taking the common factor :
⇒ In all terms of the polynomial, x is common factor
⇒ x (2x² - 9x - 5)
Splitting the middle term in the parentheses :
⇒ x (2x² - 9x - 5)
⇒ x (2x² + x - 10x - 5)
⇒ x (x (2x + 1) - 5(2x + 1))
⇒ x (x - 5) (2x + 1) [complete factorization]