Factor 4x^2+2x

Problem

4*x2+2*x

Solution

1. Identify the greatest common factor (GCF) of the terms 4*x2 and 2*x

2. Determine the numerical GCF by finding the largest number that divides both 4 and 2 which is 2

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

4. Factor out the combined GCF, 2*x from each term in the expression.

5. Divide each term by 2*x to find the remaining terms inside the parentheses: (4*x2)/(2*x)=2*x and (2*x)/(2*x)=1

Final Answer

4*x2+2*x=2*x*(2*x+1)

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