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Sed (CoderLovesEggs) Paper 2 with Solutions · Q9

Paper 2GeometryAlgebra

A degree 4 polynomial Q(x)Q(x) satisfies Q(0)=0Q(0)=0 and is tangent to y=xy=x at two different points.

It follows that the possible numbers of distinct real roots of Q(x)=0Q(x)=0 are:

A1,2,3,41,2,3,4
B1,2,31,2,3
C1,2,41,2,4
D1,3,41,3,4
E2,3,42,3,4
F2,32,3
G2,42,4
H3,43,4

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