What is the standard form of a polynomial #7x(3-x+6x^3)#? Algebra Polynomials and Factoring Multiplication of Monomials by Polynomials 1 Answer smendyka Feb 5, 2017 Multiply each term in parenthesis by #color(red)(7x)# and then arrange the resulting terms in descending exponent size: #(color(red)(7x) xx 3) - (color(red)(7x) xx x) + (color(red)(7x) xx 6x^3) -># #21x - 7x^2 + 42x^4 -># #42x^4 - 7x^2 + 21x# 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 1289 views around the world You can reuse this answer Creative Commons License