Factor 2x^2+10x+8

Problem

2*x2+10*x+8

Solution

1. Identify the greatest common factor (GCF) of all three terms, which is 2

2. Factor out the GCF from the expression.

2*(x2+5*x+4)

3. Find two numbers that multiply to the constant term 4 and add to the linear coefficient 5

4. Determine that the numbers are 1 and 4 because 1⋅4=4 and 1 + 4 = 5$.

5. Rewrite the quadratic expression inside the parentheses as a product of two binomials using these numbers.

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

Final Answer

2*x2+10*x+8=2*(x+1)*(x+4)

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