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Cryptokyo TMUA Problem Set · Q5

Algebra

The polynomial x2+bx+cx^2+bx+c has roots α\alpha and β\beta.

Find α4+β4\alpha^4+\beta^4 in terms of bb and cc.

Ab4−4b2c+4c2b^4-4b^2c+4c^2
Bb4−2b2c+2c2b^4-2b^2c+2c^2
Cb4+4b2c+2c2b^4+4b^2c+2c^2
Db4−4b2c−2c2b^4-4b^2c-2c^2
Eb4−4b2c+2c2b^4-4b^2c+2c^2

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