Factor the trinomial, if possible. If the trinomial cannot be factored using integers, write prime. 5t2 + 14t + 8

(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