Final answer:
The degree of the product of a quadratic polynomial and a cubic polynomial is the sum of the individual degrees, which is 5.
Step-by-step explanation:
When a quadratic polynomial is multiplied by a cubic polynomial, the resulting degree of the product is calculated by adding the degrees of the individual polynomials. A quadratic polynomial has a degree of 2, and a cubic polynomial has a degree of 3. To find the degree of the product, you simply add these degrees together.
For example, if we have a quadratic polynomial f(x) = ax2 + bx + c, with a degree of 2, and a cubic polynomial g(x) = dx3 + ex2 + fx + g, with a degree of 3, the product h(x) = f(x) × g(x) will have a degree of
2 + 3 = 5.
Therefore, the product of a quadratic polynomial and a cubic polynomial will be a polynomial of degree 5.