Factor the Trinomial.

Question

y^2 − 16y + 60

Answer 1

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).