Factor the Trinomial.

Question

y^2 − y − 30

Answer 1

To factor the trinomial y^2 - y - 30, we need to find two numbers that multiply to -30 and add up to -1 (the coefficient of the middle term).

The two numbers are -6 and 5, because -6*5 = -30 and -6 + 5 = -1.

Now we can rewrite the trinomial with these numbers:

y^2 - 6y + 5y - 30

Factor by grouping:

y(y - 6) + 5(y - 6)

Factor out the common factor of (y - 6):

(y - 6)(y + 5)

Therefore, the factored form of the trinomial y^2 - y - 30 is (y - 6)(y + 5).