Factor 2x^2+10x+12

Problem

2*x2+10*x+12

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+5*x+6)

3. Find two numbers that multiply to the constant term 6 and add to the linear coefficient 5

4. Determine that the numbers are 2 and 3 since 2⋅3=6 and 2 + 3 = 5$.

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

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

Final Answer

2*x2+10*x+12=2*(x+2)*(x+3)

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