Mathematics, 27.11.2019 02:31 yoangel9183

Consider the polynomial ring z_p [x]. determine a formula for the number of irreducible quadratic polynomials in z_p [x]. hint: first show there are (p-1) p^2 total quadratic polynomials. next calculate the number of reducible polynomials of the form x^2+ax+b, and use this to calculate the number of reducible quadratics. then subtract this from the total number of quadratics.

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