find a bound on real zero

[alyren]

find a bound on the real zeros of the polynomial function.

f(x)=4x^4+3x^3+2x^2-3x+4

 

[Deleted member 4993]

find a bound on the real zeros of the polynomial function.

f(x)=4x^4+3x^3+2x^2-3x+4

Bounds on Zeros: Let f be a polynomial function whose leading coefficient is 1: f(x) = x[sup:xxfs6yl8]n[/sup:xxfs6yl8] + a [sub:xxfs6yl8]n-1[/sub:xxfs6yl8] x [sup:xxfs6yl8]n-1[/sup:xxfs6yl8] + … + a[sub:xxfs6yl8]1[/sub:xxfs6yl8]x + a[sub:xxfs6yl8]0[/sub:xxfs6yl8].

The bound M on the zeros of f is the smaller of the sum of the absolute values of a[sub:xxfs6yl8]0[/sub:xxfs6yl8] through a [sub:xxfs6yl8]n-1[/sub:xxfs6yl8] or 1 + the coefficient with the largest absolute value.

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