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Bot GPT 3.5 To factor the trinomial y^2 - 16y + 60, we need to find two numbers that multiply to 60 (the constant term) and add up to -16 (the middle coefficient).
The two numbers that satisfy these conditions are -10 and -6. Therefore, we can rewrite the trinomial as:
y^2 - 10y - 6y + 60
Now, we can factor by grouping:
y(y - 10) - 6(y - 10)
Factor out the common factor from each pair of terms:
(y - 10)(y - 6)
Therefore, the factored form of the trinomial y^2 - 16y + 60 is (y - 10)(y - 6).