Factor 6x^2-5x-4

Problem

6*x2−5*x−4

Solution

1. Identify the coefficients of the quadratic expression a*x2+b*x+c where a=6 b=−5 and c=−4

2. Calculate the product of a and c which is 6×−4=−24

3. Find two numbers that multiply to −24 and add to the middle coefficient b=−5 These numbers are −8 and 3

4. Rewrite the middle term −5*x using the two numbers found: 6*x2−8*x+3*x−4

5. Factor by grouping the first two terms and the last two terms: 2*x*(3*x−4)+1*(3*x−4)

6. Factor out the common binomial (3*x−4) to obtain the final factored form.

Final Answer

6*x2−5*x−4=(2*x+1)*(3*x−4)

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