Final answer:
To factor the trinomial y²+13y+30, we find two numbers that multiply to 30 and add to 13, which are 3 and 10, resulting in the factored form (y + 3)(y + 10).
Step-by-step explanation:
To factor the trinomial y²+13y+30, we are looking for two numbers that multiply to give 30 (the constant term) and add to give 13 (the coefficient of the middle term). The two numbers that satisfy these conditions are 3 and 10. Therefore, we can express the trinomial as:
(y + 3)(y + 10)
Thus, the trinomial is factored into the product of two binomials, presenting the smaller number first as requested.