29

Part of PEN G Problems

Problems(1)

Source:

p(x)=x^{3}+a_{1}x^{2}+a_{2}x+a_{3}

have rational coefficients and have roots

r_{1}

r_{2}

r_{3}

r_{1}-r_{2}

is rational, must

r_{1}

r_{2}

r_{3}

algebrapolynomialquadraticsIrrational numbers