Finding bound on real zeros of polynomial function


Assignment:

Q1. Form a polynomial f(x) with real coefficents having the given degree and zeros
Degree 5; Zeros: 2; -i; -7+i
Enter the polynomial f(x)=a(____) type expression using x as the variable.

Q2. Find a bound on the real zeros of the polynomial function.
F(x)=x^4+x^3-4x-6
Every real zero of f lies between -____and ____ (its not -2 and 2).

Q3. Find the complex zeros of the polynomial function. Write f in factored form.
F(x)=x^3-8x^2+29x-52
Use the complex zeros to write f in factored form
F(x)=____(reduce fractions and simplify roots)

Provide complete and step by step solution for the question and show calculations and use formulas.

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Algebra: Finding bound on real zeros of polynomial function
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