1. if you add two polynomial functions, are they always a polynomial, or are they sometimes a polynomial, never a polynomial. 2. if you subtract two polynomial functions, are they always a polynomial, or are they sometimes a polynomial, never a polynomial.

EX: F(X) + G(X)
F(X) - G(X)

They are always polynomial.

Step-by-step explanation:

adding , multiplying and subtracting polynomial function from another polynomial function always results polynomial. but you need to restrict the domain of the denominator function when you divide polynomial by another polynomial. it may not always result polynomial function.

Assuming that the gas behaves ideally.

Given the initial volume and pressure:

V1 = 320 cm3
P1 = 40 kg/cm2

and given the final volume:

V2 = 200 cm3

find the final pressure, P2:

PV = nRT; assume temperature and number of moles are constant

PV = constant

P1V1 = P2V2

Solve for P2:

(320 cm3) (40 kg/cm2) = (200 cm3) (P2)

P2 = 64 kg/cm2