Final answer:
To make the trinomial factorable, the positive value of b is 7.
Step-by-step explanation:
To determine a positive value of b that will make the trinomial 5x2 + bx - 2 factorable, we need to factor it into the product of two binomials. Let's find the factors of 5 and -2:
Factors of 5: 1, 5; factors of -2: -1, 2
Next, we need to find a combination of these factors that will give us a middle term of b. Since it is a positive value, let's try b = 7. So, we can write the factored form as: (5x - 1)(x + 2). Thus, a positive value of b that makes the trinomial factorable is b = 7.
Learn more about Factoring Trinomials