Find a polynomial with real coefficients that has the given

Find a polynomial with real coefficients that has the given zeros. x = -1, x = 2 - 3i

Solution

it is impossible to find a ppolynomial with real coefficients whose roots are x=-1 and x=2-3i. Because if a polynomial has real coeficients than complex roots occur in conjugate pairs and we are given that the polynomial must have x=2-3i as one of its root not its conjugate.