Question

If f(x)=3x2 andG of X equals four times X cubed plus one what is the degree of F times G times X

Answer 1

To find the degree of the product of two polynomials f(x) and G(x), you sum the degrees of the individual polynomials. In this case, f(x) has a degree of 2 and G(x) has a degree of 3, so the product f(x) × G(x) has a degree of 5.

Step-by-step explanation:

The student is asking about the degree of a product of two functions. Given f(x) = 3x2 and G(x) = 4x3 + 1, we want to find the degree of the product f(x) × G(x). Since the degree of a product of two polynomials is the sum of their degrees, you simply add the individual degrees of the functions. The function f(x) has a degree of 2, and G(x) has a degree of 3 (since the constant term does not affect the degree). The degree of their product is 2 + 3 = 5.