Factor 6x^2+11x-10

Problem

6*x2+11*x−10

Solution

1. Identify the coefficients of the quadratic expression a*x2+b*x+c where a=6 b=11 and c=−10

2. Calculate the product a*c which is 6×−10=−60

3. Find two numbers that multiply to −60 and add to the middle coefficient b=11 These numbers are 15 and −4

4. Rewrite the middle term 11*x using the two numbers found: 15*x−4*x

6*x2+15*x−4*x−10

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

3*x*(2*x+5)−2*(2*x+5)

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

(3*x−2)*(2*x+5)

Final Answer

6*x2+11*x−10=(3*x−2)*(2*x+5)

Want more problems? Check here!