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  3. suppose h, k, r, s, t?z.set a=3rt(2s+t) and b=3rs(

Suppose h, k, r, s, t?Z.Set a=3rt(2s+t) and b=3rs(s+2t).Prove the cubic polynomial f (x) = (x ?...

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Advance Math

Suppose h, k, r, s, t?Z.Set a=3rt(2s+t) and b=3rs(s+2t).Provethe cubic polynomial

f (x) = (x ? h)(x ? a ? h)(x ? b ? h) + k
passes through the point (h,k), has integer roots, has localextrema with integer coordinates, and has an inflection

point with integer coordinates.

Answer & Explanation Solved by verified expert
3.6 Ratings (497 Votes)
We havewhereandSince and are integers so and arealso integersNow putting in the expressionof weobtainThis shows that passes through thepoint The second statement is false The equationneed not have    See Answer
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