# 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
3 years, 1 month 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 $$f(i)*f(-i)$$?

- 3 years, 1 month ago

Got that.

- 2 years, 8 months ago

You forgot 'a' on RHS.

- 3 years, 1 month ago

Ouch. Sorry. Fixed now.

- 3 years, 1 month ago