Factor 2x^2+7x+6

Problem

2*x2+7*x+6

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=2 b=7 and c=6

2. Find two numbers that multiply to a⋅c=12 and add to b=7 These numbers are 3 and 4

3. Rewrite the middle term 7*x using the two numbers found: 2*x2+4*x+3*x+6

4. Factor by grouping by taking the greatest common factor out of the first two terms and the last two terms: 2*x*(x+2)+3*(x+2)

5. Factor out the common binomial (x+2) to obtain the final factored form.

Final Answer

2*x2+7*x+6=(2*x+3)*(x+2)

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