# Polynomials and Rational Theorem Algebra Questions

See 7 questions attached.

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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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