Let
Let
If then compute
Suppose the polynomials and are obtained by expanding and simplifying the following algebraic expressions
Let and be the coefficient of in the polynomials and respectively. Which of the given option is true?
Let and be the values of for which .
If , then find
What is the minimum value of if the following 4 conditions are followed?
is a polynomial of degree .
All roots of are real.
All coefficients are positive.
The coefficient of is 1.
The product of roots of is -1.
is a polynomial with integral coefficients such that the absolute value of the constant term of is smaller than 1000. Given further that , find the constant term of the polynomial .