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APPROACH!

There is this problem which has intrigued me for days..Please help .

Let p(x) and q(x) be two quadratic polynomials with integer coefficients.Suppose they have a non-rational zero in common.

Show that

p(x) = r * q(x) for some rational number r.

Note by Raven Herd
2 years, 6 months ago

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It's intriguing you because it is not true.

For example, take \( p(x) = (2x-1) ^2 \) and \( q(x) = (2x-1) ( 3x-1 ) \). Calvin Lin Staff · 2 years, 6 months ago

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@Calvin Lin Yes , when I started to prove it I also arrived at the same result but I was not sure.Thanks a lot. Raven Herd · 2 years, 6 months ago

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