How do you factor #x^3+2x^2+x+2# by grouping? Algebra Polynomials and Factoring Factoring by Grouping 1 Answer Jacq Oct 15, 2017 #x^3+2x^2+x+2=(x^2+1)(x+2)# Explanation: #x^3+2x^2+x+2# #=(x^3+2x^2)+(x+2)# #=x^2(x+2)+(x+2)# #=x^2(x+2)+1(x+2)# #=(x^2+1)(x+2)# Answer link Related questions What is Factoring by Grouping? How do you factor by grouping four-term polynomials and trinomials? Why does factoring polynomials by grouping work? How do you factor #2x+2y+ax+ay#? How do you factor #3x^2+8x+4# by using the grouping method? How do you factor #6x^2-9x+10x-15#? How do you group and factor #4jk-8j^2+5k-10j#? What are the factors of #2m^3+3m^2+4m+6#? How do you factor quadratics by using the grouping method? How do you factor #x^4-2x^3+5x-10#? See all questions in Factoring by Grouping Impact of this question 1410 views around the world You can reuse this answer Creative Commons License