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ISI bstat 2016 #2

Source: isi bstat 2016 polynomial #2

May 8, 2016
algebrapolynomial

Problem Statement

Consider the polynomial ax3+bx2+cx+dax^3+bx^2+cx+d where a,b,c,da,b,c,d are integers such that adad is odd and bcbc is even.Prove that not all of its roots are rational..
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