Answer:
(n - 2)(5n + 6)
Explanation:
Given
5n² - 4n - 12
Consider the factors of the product of the n² term and the constant term which sum to give the coefficient of the n- term
product = 5 × - 12 = - 60 and sum = - 4
The factors are - 10 and + 6
Use these factors to split the n- term
5n² - 10n + 6n - 12 ( factor the first/second and third/fourth terms )
= 5n(n - 2) + 6(n - 2) ← factor out (n - 2) from each term
= (n - 2)(5n + 6) ← in factored form