algebra precalculus - Solve the equation $x^4-2x^3-21x^2+22x+40=0$ whose roots are in A.P. - Mathematics Stack Exchange

Solve the equation $x^4-2x^3-21x^2+22x+40=0$ whose roots are in A.P. (arithmetic progression). I don't understand this solution. Why are the terms of AP considered as mentioned in the question and

Solve the equation whose roots are in A.P., Theory of Equations

10. Solve x4−2x3−21x2+22x+40=0, whose roots are in arithmetical progressi..

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find the roots of equation x^4+2x^3-21x^2-22x+40=0 if they are in a.p.​

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