Question

multiply the polynomial by the monomial using the distributive property and or the product rule of exponents (7y) (5x^2+y)

Answer 1

To multiply the polynomial by the monomial using the distributive property, you need to distribute the monomial to each term of the polynomial.

First, distribute 7y to each term of (5x^2 + y):
7y * 5x^2 = 35x^2y
7y * y = 7y^2

Therefore, the result of multiplying (7y) * (5x^2 + y) using the distributive property is:

35x^2y + 7y^2