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

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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

Telugu] If the roots of x^(4) - 2x^(3) - 21x^(2) + 22x + 40 = 0 are

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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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