How do you factor #y= x^3+2x^2+x+2 #? Algebra Polynomials and Factoring Monomial Factors of Polynomials 1 Answer Ratnaker Mehta Jun 10, 2016 #y=(x+2)(x^2+1)# Explanation: #y=x^3+2x^2+x+2=x^2(x+2)+1(x+2) = (x+2)(x^2+1)#. Answer link Related questions What are Monomial Factors of Polynomials? How do you factor polynomials by finding the greatest common factor? How can a factoring problem be checked? How do you find the greatest common factors of variable expressions? How do you factor #3a+9b+6#? What is the greatest common factor of #a^3-3a^2+4a#? How do you factor #12xy+24xy^2+36xy^3#? How do you find the greatest common factor of #45y^{12}+30y^{10}#? How do you factor #92x^10y^4 - 54x^12y^9#? How do you factor #4x^2+x#? See all questions in Monomial Factors of Polynomials Impact of this question 1422 views around the world You can reuse this answer Creative Commons License