How do you find the product #5w(-3w^2+2w-4)#? Algebra Polynomials and Factoring Multiplication of Monomials by Polynomials 1 Answer Nam D. Jun 8, 2018 #-15w^3+10w^2-20w# Explanation: Use the distributive property, which states that #a(b+c+d)=ab+ac+ad#. #=5w*-3w^2+5w*2w-5w*4# #=-15w^3+10w^2-20w# Answer link Related questions What is Multiplication of Monomials by Polynomials? How do you multiply monomials by polynomials? How do you multiply monomials by monomials? How do you multiply #(3xy^5)(-6x^4y^2)#? How do you multiply and simplify #6ab(-10a^2 b^3+c^5)#? How do you simplify #-3a^2b(9a^2-4b^2)#? How do you multiply #y(xy^4)#? How do you multiply #(2x-1)(x^3-2x^2+3x-4)#? How do you multiply #(5n^2)(2n^5 - 2n^3 3n^7)#? How do you simplify #2t^2+(3+5)(4t)#? See all questions in Multiplication of Monomials by Polynomials Impact of this question 2325 views around the world You can reuse this answer Creative Commons License