How do you multiply 3x(5x^2-x+4)? Algebra Polynomials and Factoring Multiplication of Monomials by Polynomials 1 Answer Jacobi J. ยท Tony B May 25, 2018 15x^3-3x^2+12x Explanation: We need to distribute the 3x to all terms in the parenthesis. We essentially have color(blue)(3x)(5x^2)-color(blue)(3x)(x)+color(blue)(3x)(4) Notice, the 3x is being multiplied by all terms. We get bar(ul(|color(white)(2/2)15x^3-3x^2+12xcolor(white)(2/2)|)) as our final answer. Hope this helps! 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 2018 views around the world You can reuse this answer Creative Commons License