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A Special Cubic Tangent (Posted on 2021-12-24) Difficulty: 3 of 5
Let f(x) be a cubic polynomial with three real roots r1, r2, and r3. The roots can be in any order.
Let the average of r1 and r2 be z.
Now draw the tangent line to the cubic at point (z, f(z)).

Show that this tangent line will always pass through (r3, 0).

No Solution Yet Submitted by Brian Smith    
Rating: 4.0000 (1 votes)

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