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tmua.me Medium Set A Paper 1 · Q20

Paper 1GeometryAlgebra

For some real constants aa and bb, the polynomial

x4+ax3+(a+3)x2+bx+4x^4+ax^3+(a+3)x^2+bx+4

is the square of a quadratic polynomial with real coefficients.

What is the sum of all the distinct possible values of bb?

A−12-12
B−8-8
C00
D44
E88
F−4-4

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