Prove the Rational Zeros Theorem. Let p/q, where p and q have no common factors except 1
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Prove the Rational Zeros Theorem.
Let p/q, where p and q have no common factors except 1 and -1, be a zero of the polynomial function
whose coefficients are all integers. Show that
Now, because p is a factor of the first n terms of this equation, p must also be a factor of the term a0qn. Since p is not a factor of q (why?), p must be a factor of a0. Similarly, q must be a factor of an.
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