FINDING MINIMUM DEGREE OF POLYNOMIAL WITH GIVEN ZEROS WORKSHEET

Problem 1 :

Find a polynomial equation of minimum degree with rational coefficients having 2+√3i as a root.

Solution

Problem 2 :

Find a polynomial equation of minimum degree with rational coefficients having 2i+3 as a root.

Solution

Problem 3 :

Find a polynomial equation of minimum degree with rational coefficients having √5 - √3 as a root.

Solution

Problem 4 :

If k is real, discuss the nature of the roots of the polynomial equation 2x² + kx + k = 0 in terms of k.

Solution

Problem 5 :

Prove that a straight line and parabola cannot intersect at more than two points.

Solution