Which type of function is the result of adding a quadratic function and a linear function?

a. a linear function
b. a quadratic function
c. a rational function
d. a cubic function

B

Step-by-step explanation:

D: You will not get a cubic function. Nothing adds to give a term with x^3 in it.

C: A rational function is of the form (x^2 + 3x + 2) / (x^2). In other words it has a numerator and a denominator that are polynomials. Unless one or both started out like that, the answer is not a rations function.

A: It can't be linear. The x^2 term will carry over after addition.

The answer is B. One of the polynomials started out as a quadratic. It will remain that way.