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 1598 views around the world You can reuse this answer Creative Commons License