Factor 12x^3+18x

Problem

12*x3+18*x

Solution

1. Identify the greatest common factor (GCF) of the coefficients 12 and 18 which is 6

2. Identify the lowest power of the variable x present in both terms, which is x1 or simply x

3. Determine the overall GCF by multiplying the coefficient and variable factors together to get 6*x

4. Factor out the GCF from each term by dividing 12*x3 by 6*x to get 2*x2 and dividing 18*x by 6*x to get 3

5. Rewrite the expression as the product of the GCF and the remaining terms inside parentheses.

Final Answer

12*x3+18*x=6*x*(2*x2+3)

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