Final answer:
The question's polynomial 24−3x can be factored to -3 and (x-8), representing its simplest or 'prime' state. None of the provided options are prime factors of the given polynomial.
Step-by-step explanation:
The original polynomial given in the question is 24-3x. The term prime factors refers to factors which are prime numbers (numbers that have only two distincfactors: the number itself and 1). However, in the context of polynomials, prime factors refer to irreducible polynomials (those that cannot be factored further).
Firstly, this polynomial can be rewritten by factoring out the greatest common factor which is 3. This gives us -3(x-8). There is only one variable term, so it is already reduced to its simplest or 'prime' form in the context of factoring polynomials. Hence, the prime factors are -3 and (x-8).
Therefore, none of the provided options (2, 3r, (2x-1), (x-1)) are prime factors of the given polynomial 24−3x.
Learn more about factoring polynomials