Answer:
(t + 3)(7t - 2)
Explanation:
7t² - 19t - 6
consider the factors of the product of the coefficient of the t² term and the constant term which sum to give the coefficient of the t- term
product = 7 × - 6 = - 42 and sum = - 19
the factors are 21 and - 2
use these factors to split the t- term
7t² + 21t - 2t - 6 ( factor the first/second and third/fourth terms )
7t(t + 3) - 2(t + 3) ← factor out (t + 3) from each term
(t + 3)(7t - 2) ← in factored form