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too tedious !

I came across a problem which I am unable to solve.

Let there be a quartic polynomial \(ax^4 + bx^3 + cx^2 + dx + e = 0\), having real coefficients and roots p,q,r,s . Calculate the value of \((1+ p^2)(1 +q^2)(1+r^2)(1+s^2)\). Kindly provide full solutions .

Note by Raven Herd
2 years, 5 months ago

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Hint:- \( f(x) = ax^4 + bx^3 + cx^2 + dx + e = a(x- p)(x-q)(x-r)(x-s) \) What is \( f(i)*f(-i) \)?

Siddhartha Srivastava - 2 years, 5 months ago

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Got that.

Raven Herd - 2 years ago

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You forgot 'a' on RHS.

Krishna Sharma - 2 years, 5 months ago

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Ouch. Sorry. Fixed now.

Siddhartha Srivastava - 2 years, 5 months ago

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