High School

Factor the expression \(30m^2 + 18m - 12\).

a) \(6(5m^2 + 3m - 2)\)
b) \(2(15m^2 + 9m - 6)\)
c) \(12(2.5m^2 + 1.5m - 1)\)
d) \(3(10m^2 + 6m - 4)\)

Answer :

Final answer:

The expression 30m^2 + 18m - 12 is factored by finding the GCF, which is 6, leading to the factored form 6(5m^2 + 3m - 2).

Explanation:

To factor the expression 30m^2 + 18m - 12, we need to find the greatest common factor (GCF) of the coefficients 30, 18, and -12. The GCF of these numbers is 6. By dividing each term of the expression by 6, we obtain the factored form:

6(5m^2 + 3m - 2)

Therefore, the correct factored expression from the given options is a) 6(5m^2 + 3m - 2).

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