How do you factor #4q^4 + 12q#? Algebra Polynomials and Factoring Monomial Factors of Polynomials 1 Answer sjc Apr 16, 2018 #4q(q^3+3)# Explanation: we need to take out common factors for each term #q^4+12q# #hcf(4,12)=4# #q^4+12q=color(red)(4)(q^4+3q)# #hcf(q^4,q)=q# #q^4+12q=4color(red)(q)(q^3+3)# 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 1556 views around the world You can reuse this answer Creative Commons License