Factor -6a^2-25a-25

Problem

−6*a2−25*a−25

Solution

1. Factor out the negative sign to make the leading coefficient positive, which simplifies the process.

−1*(6*a2+25*a+25)

2. Identify the coefficients for the quadratic expression a*x2+b*x+c where a=6 b=25 and c=25

3. Find two numbers that multiply to a*c=6×25=150 and add to b=25 These numbers are 10 and 15

4. Rewrite the middle term 25*a using the two numbers found.

−1*(6*a2+10*a+15*a+25)

5. Factor by grouping the first two terms and the last two terms.

−1*(2*a*(3*a+5)+5*(3*a+5))

6. Factor out the common binomial (3*a+5)

−1*(2*a+5)*(3*a+5)

7. Distribute the negative sign back into one of the factors if desired, or keep it outside.

−(2*a+5)*(3*a+5)

Final Answer

−6*a2−25*a−25=−(2*a+5)*(3*a+5)

Want more problems? Check here!