Polynomials are mathematical expressions that have two or more terms. To perform operations with polynomials, we use the same basic math operations as with monomials, such as addition, subtraction, multiplication, and division.

For example, let's say we have two polynomials: "3x^2 + 2x + 1" and "5x^2 - 3x + 2". To add them, we simply add their corresponding terms. So, the result would be "8x^2 - x + 3". To subtract them, we subtract their corresponding terms. So, the result would be "-2x^2 + 5x - 1".

We can also multiply polynomials. For example, let's say we multiply "3x^2 + 2x + 1" by "5x^2 - 3x + 2". We can use the distributive property to multiply each term in the first polynomial by each term in the second polynomial. So, the result would be "15x^4 + 3x^3 + 2x^2 - 6x^3 + 6x^2 + 2x - 3x^2 - 6x - 2".

So, to perform operations with polynomials, we use the same basic math operations as with monomials, such as addition, subtraction, multiplication, and division. We can add, subtract, multiply, and divide polynomials just like we do with monomials, and the result will still be a polynomial.