How do you factor the expression #b^3 - 6b^2 - 27b#? Algebra Polynomials and Factoring Factorization of Quadratic Expressions 1 Answer Lucy Jul 15, 2018 #b(b-9)(b+3)# Explanation: #b^3-6b^2-27b# =#b(b^2-6b-27)# #b=(6+-sqrt(36+108))/2# #b=(6+-sqrt144)/2# #b=(6+-12)/2# #b=(6+12)/2=9# or #b=(6-12)/2=-3# =#b(b-9)(b-(-3))# =#b(b-9)(b+3)# Answer link Related questions How do you factor trinomials? What is factorization of quadratic expressions? How do you factor quadratic equations with a coefficient? What are some examples of factoring quadratic expressions? How do you check that you factored a quadratic correctly? How do you factor #x^2+16x+48#? How do you factor #x^2-9x+20#? Question #3fdac How do you factor #8+z^6#? There is no GCF to be factor out, so is there another method to complete this? How do you factor #2t^2+7t+3#? See all questions in Factorization of Quadratic Expressions Impact of this question 1392 views around the world You can reuse this answer Creative Commons License