Factor the Trinomial.
y^2 − 16y + 60
To factor the trinomial y^2 - 16y + 60, we need to find two numbers that multiply to 60 and add up to -16.
The two numbers that fit these criteria are -10 and -6 (-10*-6 = 60 and -10 + -6 = -16).
Therefore, we can rewrite the trinomial as:
y^2 - 10y - 6y + 60
Now, we can factor by grouping:
y(y - 10) - 6(y - 10)
Now, we can factor out the common binomial factor:
(y - 10)(y - 6)
So, the factored form of the trinomial y^2 - 16y + 60 is (y - 10)(y - 6).