How do you factor the expression #x^3 + 4x^2 + x + 4#? Algebra Polynomials and Factoring Factoring Completely 1 Answer bp Dec 13, 2015 # (x^2+1)(x+4)# Explanation: Pair the terms #(x3 +4x^2) +x+4# #x^2(x+4) +(x+4)# # (x^2+1)(x+4)# Answer link Related questions What is Factoring Completely? How do you know when you have completely factored a polynomial? Which methods of factoring do you use to factor completely? How do you factor completely #2x^2-8#? Which method do you use to factor #3x(x-1)+4(x-1) #? What are the factors of #12x^3+12x^2+3x#? How do you find the two numbers by using the factoring method, if one number is seven more than... How do you factor #12c^2-75# completely? How do you factor #x^6-26x^3-27#? How do you factor #100x^2+180x+81#? See all questions in Factoring Completely Impact of this question 3771 views around the world You can reuse this answer Creative Commons License