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Viluxent Set 1 Paper 1 · Q18

Paper 1Algebra

Let pp be a non-zero real constant, and consider the curve

y=x4−4px3+6p2x2+1.y=x^4-4px^3+6p^2x^2+1.

For how many values of pp does this curve have a point of inflection?

A00
B11
C22
DEvery non-zero pp works
EOnly p=1p=1 works
FOnly p=±1p=\pm1 work

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