Answer:
(t + 2)(5t + 4)
Step-by-step explanation:
Given
5t² + 14t + 8
Consider the factors of the product of the t² term and the constant term which sum to give the coefficient of the t- term.
product = 5 × 8 = 40 and sum = + 14
The factors are + 10 and + 4
Use these factors to split the t- term
5t² + 10t + 4t + 8 ( factor the first/second and third/fourth terms )
= 5t(t + 2) + 4(t + 2) ← factor out (t + 2) from each term
= (t + 2)(5t + 4) ← in factored form
