Find all polynomials whose coefficients are equal to 1 or - 1 and whose all roots are real.

If f (x)= 0 be a polynomial whose coefficients are all +-1 and whose roots are all real, then degree of f (x) can be : (a) 1 (b) 2 (c) 3 (d) 4

Define a polynomial with real coefficients.

Find the polynomial with rational coefficients and whose roots are a+b,a-b,-a+b,-a-b

Suppose p is a polynomial with complex coefficients and an even degreen. If all the roots of p are complex non-real numbers with modulus 1, prove that p(1) in R iff p(-1) in R

Find the polynomial with rational coefficients and whose roots are 1 +- sqrt(3),2,5

Find the polynomial with rational coefficients and whose roots are 0,1,-3//2,5//2

Find the polynomial with rational coefficients and whose roots are 0,0,2,2,-2,-2

Find the polynomial with rational coefficients and whose roots are 1 +- 2i ,4,2

Does there exist a quadratic equation whose coefficients are all distinct irrationals but both the roots are rationals?

Find a cubic polynomial whose zeroes are (1)/(2),-(3)/(2) and 2.