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# Polynomials and Rational Theorem Algebra Questions

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https://brainmass.com/math/algebra/polynomials-rational-theorem-algebra-questions-544151

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1. Find a bound on the real zeros of the polynomial function f(x)=x4+x3-4x-6
Every real zero of f lies between -2______ and____2__.
2. Use the intermediate value theorem to show that the polynomial function has a zero in the given interval.
f(x)=11x4-4x2+6x-1;[0,3] enter the value of f (0)
f(0)=___-1___ (simplify)
Reason: f(0)=-1 and f(3)=872 which have different sign, by IVT, there is a number c between 0 and 3 such that f(c)=0
3. Use the intermediate value theorem to show that the polynomial function has a zero in ...

#### Solution Summary

The solution gives detailed steps on solving various questions on factoring polynomial and finding roots using rational theorem.

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