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# APPROACH!

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
3 years ago

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It's intriguing you because it is not true.

For example, take $$p(x) = (2x-1) ^2$$ and $$q(x) = (2x-1) ( 3x-1 )$$.

Staff - 3 years ago

Yes , when I started to prove it I also arrived at the same result but I was not sure.Thanks a lot.

- 3 years ago