Polynomial equation | Ex : 2.3 | part 1

Form the polynomial equation whose root are 2 ,1 +- 3i

Form the polynomial equation whose root are 1,3-sqrt(-2)

Form the polynomial equation of degree 3 whose roots are 2,3 and 6.

From the polynomial equation whose roots are 1+I,1-I,1+I,1-I

From the polynomial equation whose roots are 3,2,1+i,1-i

Form the polynomial equation whose root are 4+- sqrt(3) ,2 +- i

Find the polynomial equation whose roots are the translates of the roots of the equation . x^4-x^3-10x^2+4x+24=0 by 2 .

Find the polynomial equation whose roots are the negatives of the roots of the equation x^4 -6x +7x^2 -2x +1=0

Prove that tan(pi/10) is a root of polynomial equation 5x^4-10 x^2+1=0.