Factor 2x^3+4x^2+8x

Problem

2*x3+4*x2+8*x

Solution

1. Identify the greatest common factor (GCF) of the coefficients 2 4 and 8 which is 2

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

3. Factor out the GCF, 2*x from each term of the expression.

4. Divide each term by 2*x to determine the remaining polynomial inside the parentheses.

Final Answer

2*x3+4*x2+8*x=2*x*(x2+2*x+4)

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