Answer
$$-12x^3+21x^2+6x. $$
Work Step by Step
By multiplying each term of the polynomial by the monomial, and then adding the products, we have
$$-3x(4x^2-7x-2)=-3x(4x^2)-3x(-7x)-3x(-2).\\
=-12x^3+21x^2+6x. $$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.