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Answer:
Step-by-step explanation:
Given is an algebraic polynomial of degree 5.
Here leading term is p=3 and constant term is q =12
Factors of p are ±1,±2,±3
Factors of q are
Possible forms of p/q will be the same for any other polynomial of degree 5 with leading term =3 and constant term = 12
Hence any other polynomial
will have same possible zeroes of p/q, when a,b,c are rational.
Hence any polynomial of this type would have the same possible rational roots.