Factor 2x^2+8x

Problem

2*x2+8*x

Solution

1. Identify the greatest common factor (GCF) of the terms 2*x2 and 8*x

2. Determine the numerical GCF by finding the largest number that divides both 2 and 8 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: (2*x2)/(2*x)=x and (8*x)/(2*x)=4

Final Answer

2*x2+8*x=2*x*(x+4)

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