Assignment:
Q1. Give an example of a single polynomial with degree 3, whose value is 4 when the variable is equal to 1.
Q2. Give an example of a single polynomial with degree 3, whose value is 29 when the variable is equal to 2.
Q3. Find a polynomial with degree 3 whose values are 4 and 29 when the variable is equal to 1 and 2, respectively. How many polynomials that satisfy these constraints are there? Note that in this part, you need to come up with a single polynomial that satisfies these two constraints simultaneously.
Q4. State the identities of the difference of two squares and the square of a binomial. Why do you think they are important? give at least one example from each identity.
Provide complete and step by step solution for the question and show calculations and use formulas.