1.

Consider f(x)=4x^(4)-24x^(3)+31x^(2)+6x-8 be a polynomial function and alpha, beta, gamma are the roots (alpha lt beta lt gamma lt sigma), So,

Answer»

<P>`sigma^(p)+1/(sigma^(ALPHA))+alpha^(r)+r^(sigma)=36`
`sigma_(p)+1/(sigma^(alpha))+sigma^(r)+r^(sigma)=18`
`int_(2alpha)^(2BETA) (x^(alpha+1)-5x^(r+1)+2beta|x|+1)/(x^(2)+4beta|x|+1)dx=2 In 2`
`int_(2alpha)^(2beta) (x^(sigma+1)-5x^(r+1)+2beta|x|)+1/(x^(2)+4beta|x|+1) dx=In 2`

Solution :ac
`f(x)=(2x-1)(2x+1)(x-2)(x-4)`


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