What is the degree of the polynomial product?

The degree of a polynomial product is simply the sum of the degrees of the individual polynomials being multiplied. For instance, if you have two polynomials, one of degree 2 and the other of degree 3, their product will result in a polynomial of degree 5. This means that when you multiply polynomials, not only do you combine their coefficients, but you also get to hike up the degree to a higher value! Now, one common mistake when calculating the degree is forgetting to add the degrees instead of multiplying them. For example, if you mistakenly think the degree of the product of polynomials with degrees 2 and 3 is 6 (by multiplying), you might end up taking the wrong path in your calculations. Always remember to sum those degrees for accurate results!