Factor 6x^2+7x+2

Problem

6*x2+7*x+2

Solution

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

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: 6*x2+3*x+4*x+2

4. Factor by grouping by taking the greatest common factor out of the first two terms and the last two terms.

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

5. Factor out the common binomial (2*x+1)

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

Final Answer

6*x2+7*x+2=(3*x+2)*(2*x+1)

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