Do you always use the property of distribution when multiplying monomials and polynomials? Explain why or why not. In what situations would distribution become important?

Answer 1

I wold say yes.

monomial is like kx^2

polynomial is like (ax^2 + bx + c)

kx^2 (ax^2+bx+c)

requires distributing the multiplication of kx^2 by each term of the polynomial.

Answer 2

When we multiply a monomial and a monomial, we need not to use the distributive property; but we do use the property when dealing with the multiplication of monomial and binomial/trinomial/polynomial.