Factor 2x^2+8x+6

Problem

2*x2+8*x+6

Solution

1. Identify the greatest common factor (GCF) for all terms in the expression.

2. Factor out the GCF, which is 2 from the quadratic expression.

2*(x2+4*x+3)

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

4. Determine that the numbers are 1 and 3 since 1⋅3=3 and 1 + 3 = 4$.

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

2*(x+1)*(x+3)

Final Answer

2*x2+8*x+6=2*(x+1)*(x+3)

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