Final answer:
Standard arithmetic operations can be performed on polynomials by both multiplying and adding terms.
Step-by-step explanation:
In mathematics, standard arithmetic operations can be performed on polynomials by both multiplying and adding terms.
When multiplying polynomials, each term in the first polynomial is multiplied by each term in the second polynomial. The resulting terms are then combined by adding like terms.
For example, if we have the polynomials (2x + 3) and (x - 5), we can multiply them by multiplying each term: (2x + 3)(x - 5) = 2x^2 - 10x + 3x - 15 = 2x^2 - 7x - 15.