How do you factor #2a^4+21a^3+49a^2#? Algebra Polynomials and Factoring Monomial Factors of Polynomials 1 Answer aniruddho r. Nov 17, 2015 #a^2(a+7)(2a+7)# Explanation: #2a^4+21a^3+49a^2# =#a^2(2a^2+21a+49)# =#a^2(2a^2+14a+7a+49)# =#a^2[2a(a+7)+7(a+7)]# =#a^2(a+7)(2a+7)# 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 2165 views around the world You can reuse this answer Creative Commons License