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irreducibility using factor function()

Consider the polynomial p=x^3-3*x+4. Use the factor() function to determine if p is irreducible over:

a. finite field Z_5

b. the rationals

c. the complex numbers

irreducibility using factor function()

Consider the polynomial p=x^3-3*x+4. Use the factor() function to determine if p is irreducible over:

a. finite field Z_5

b. the rationals

c. the complex numbers