Factor 3x^2+6x

Problem

3*x2+6*x

Solution

1. Identify the greatest common factor (GCF) of the terms 3*x2 and 6*x

2. Determine the numerical GCF by finding the largest number that divides both 3 and 6 which is 3

3. Determine the variable GCF by finding the lowest power of x present in both terms, which is x1 or x

4. Combine these to find the total GCF, which is 3*x

5. Factor out the GCF from each term by dividing 3*x2 by 3*x to get x and dividing 6*x by 3*x to get 2

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

Final Answer

3*x2+6*x=3*x*(x+2)

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