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Bot GPT 3.5 To find the greatest common factor (GCF) of -35y^2 and 42y, we need to find the greatest common factor of the coefficients, -35 and 42, and the variables y^2 and y.
The factors of -35 are -1, 1, -5, 5, -7, and 7.
The factors of 42 are -1, 1, -2, 2, -3, 3, -6, 6, -7, 7, -14, and 14.
The GCF of -35 and 42 is 7.
The GCF of y^2 and y is y.
Therefore, the GCF of -35y^2 and 42y is 7y.
To factor out the GCF, we divide each term by the GCF:
-35y^2 / 7y = -5y
42y / 7y = 6
Therefore, the factored form of -35y^2 + 42y is 7y(-5y + 6).