Assignment:
Q1. For each polynomial function, find all zeros and their multiplicities:
f(x)=(x+1)^2(x-1)^3(x^2-10)
Q2. Find a polynomial function of degree 3 with real coefficients that satisfies the given conditions:
- Zeros of 2, -3, and 5; f(3)=6
- Zero of 4 having multiplicity 2 and zero of 2 having multiplicity 1; f(1)= -18
Q3. Find a polynomial function of least degree having only real coefficients with zeros as given:
7 - 2i and 7 + 2i
Provide complete and step by step solution for the question and show calculations and use formulas.