Factor 2x^2+6x+4

Problem

2*x2+6*x+4

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+3*x+2)

3. Find two numbers that multiply to the constant term 2 and add to the linear coefficient 3

4. Determine that the numbers are 1 and 2 since 1⋅2=2 and 1 + 2 = 3$.

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

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

Final Answer

2*x2+6*x+4=2*(x+1)*(x+2)

Want more problems? Check here!