Quadratic/polynomial problemWhat is a short way to deal with this cubic polynomial problem?Condition $|x_1x_2+1|<x_1+x_2$ in quadratic polynomialFinding roots of quartic polynomial using a quadratic polynomial of similar form.Elementary number theory and quadraticFind a nonzero polynomial $f(X)$ with integer coefficients such that $f(sqrt3 + sqrt7)=0$quadratic equation with integer rootsCoefficients nature in a quadratic polynomialPolynomial p(a)=1, why does it have at most 2 integer roots?Is a polynomial of degree 3 with irrational roots possible?Algebra of quadratic equation
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