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

What are the roots of x ⁴ + 2 x ³ - 21 x²- 22x + 40 = 0? - Quora

What are the roots of x ⁴ + 2 x ³ - 21 x²- 22x + 40 = 0? - Quora

6. Solve the following equations, given that the roots of each are in H.P. () 6.-11x2 +6x - 1 = 0 () 15x - 23x2 +92-1 = 0 27 Solve the following auntiam

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