To answer this question, we can proceed as follows:
[tex]7x^3\cdot(x^5+2x+3)[/tex]Therefore, the answer is:
[tex]7x^8+14x^4+21x^3[/tex]In this case, we need to multiply the monomial 7x^3 by each of the terms of the polynomial, using the method of the generic rectangle.
We sum the exponents, for example, (x^3 * x^5 = x^8) in each case, and also multiply the coefficients.