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 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 two numbers are −1 and −2

5. Rewrite the quadratic expression 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)

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