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 two numbers are -6 and 5 since -6 * 5 = -30 and -6 + 5 = -1.

Therefore, we can rewrite the trinomial as:

y^2 - 6y + 5y - 30

Next, factor by grouping:

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

Now, factor out the common factor of (y - 6):

(y + 5)(y - 6)

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