Assignment:
Q1. Use the intermediate value theorem to show that the polynomial function has a zero in the given interval.
F(x)=x^5-x^4+7x^3-8x^2-16x+13; [1.3,1.7]
Find value of f (1.3) ____ (simplify)
Find value of f (1.7) ______ (simplify)
Q2. Information is given about the polynomial f(x) whose coefficients are real numbers. Find the remaining zeros of f.
Degree 3; Zeros: 4,4-i
Q3. Form a polynomial f(x) with real coefficients having the given degree and zeros.
Degree 5; zeros: 9, -i, -8+i
F(x)=a_______
Q4. Find the complex zeros of the polynomial function. Write f in factored form.
F(x)=3x^4-19x^3+33x^2+141x-50
F(x)=____.
Provide complete and step by step solution for the question and show calculations and use formulas.