Factor 6x^2-7x-5

Problem

6*x2−7*x−5

Solution

1. Identify the coefficients of the quadratic expression a*x2+b*x+c where a=6 b=−7 and c=−5

2. Calculate the product of a and c which is 6×−5=−30

3. Find two numbers that multiply to −30 and add to the middle coefficient b=−7 These numbers are −10 and 3

4. Rewrite the middle term −7*x using the two numbers found: 6*x2−10*x+3*x−5

5. Factor by grouping the first two terms and the last two terms: (6*x2−10*x)+(3*x−5)

6. Factor out the greatest common factor from each group: 2*x*(3*x−5)+1*(3*x−5)

7. Extract the common binomial factor (3*x−5) to obtain the final factored form.

Final Answer

6*x2−7*x−5=(2*x+1)*(3*x−5)

Want more problems? Check here!