How do you multiply #-x (4x^2 - 2x) - 5x^3#? Algebra Polynomials and Factoring Multiplication of Monomials by Polynomials 1 Answer sankarankalyanam Mar 20, 2018 #-x (4x^2 - 2x) - 5x^3 = color(brown)(-9x^3 + 2x^2# Explanation: #-x (4x^2 - 2x) - 5x^3# # => -x * 4 x^2 - x * -2x - 5x^3# Removing the bracket. # => - 4 (x^2 * x) + (2 x * x) - 5x^3# #= > -4 x^3 + 2 x^2 - 5 x^3# #=> -4x^3 - 5 x^3 + 2x^2# Grouping like terms. # => -x^3 (4 + 5) + 2 x^2# #=> -9x^3 + 2x^2# 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 1416 views around the world You can reuse this answer Creative Commons License