Factor 4x^2-5x-6

Problem

4*x2−5*x−6

Solution

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

2. Multiply the leading coefficient a and the constant c to find the product a*c=4⋅(−6)=−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: −8*x+3*x

4*x2−8*x+3*x−6

5. Factor by grouping by splitting the expression into two pairs: (4*x2−8*x)+(3*x−6)

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

4*x*(x−2)+3*(x−2)

7. Factor out the common binomial factor (x−2)

(4*x+3)*(x−2)

Final Answer

4*x2−5*x−6=(4*x+3)*(x−2)

Want more problems? Check here!