← Olympiad Algebra
Chapter 5
Pinned down by very little
Remainders, values and roots: a polynomial is fixed by far fewer facts than it seems.
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The remainder is a height
Divide p(x) = x³ − 3x + 1 by x − a. At x = a the part (x − a)·q(x) is zero, so the remainder is the height of the curve. Drag a.