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 simply x

4. Factor out the combined GCF, 3*x from each term of the expression.

5. Divide each term by 3*x to find the remaining terms inside the parentheses: (3*x2)/(3*x)=x and (−6*x)/(3*x)=−2

Final Answer

3*x2−6*x=3*x*(x−2)

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