Factor 2x^2+11x-6

Problem

2*x2+11*x−6

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=2 b=11 and c=−6

2. Find two numbers that multiply to a⋅c=2⋅(−6)=−12 and add to b=11

3. Determine the numbers, which are 12 and −1

4. Rewrite the middle term 11*x using these two numbers: 12*x−x

2*x2+12*x−x−6

5. Group the terms into two pairs.

(2*x2+12*x)+(−x−6)

6. Factor out the greatest common factor from each pair.

2*x*(x+6)−1*(x+6)

7. Factor out the common binomial (x+6)

(2*x−1)*(x+6)

Final Answer

2*x2+11*x−6=(2*x−1)*(x+6)

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