Consider the following polynomial functions: f(a) = (2a —7 + a^2) and g(a) = (5 — a).

Question

Which of the following statements about the polynomial
functions are true? Select all that apply.

A. The expression that represents the sum of the polynomials is a first-degree polynomial.

B. The expression that represents the difference of the polynomials illustrates that polynomials are closed under subtraction.

C. The sum of f(a) and g(a) can be represented by the expression a^2 + a - 2

D. The difference of f(a) and g(a) can be represented by the expression a^2 + a - 12

E. The product of f(a) and g(a) can be represented by the expression -a^3 + 3a^2 + 17a - 35

Answer 1

B. The expression that represents the difference of the polynomials illustrates that polynomials are closed under subtraction.

C. The sum of f(a) and g(a) can be represented by the expression a^2 + a - 2