Question

Write the equation of the polynomial of lowest possible degree in factored form.

Has integer coefficients, one zero at x=1/2-5i and another at x=-2-√3

Answer 1

so i think this ,,one zero " mean root so x_1 and x_2

and we know that a quadratic equation has 2 roots

using the Viéte formulas

1. x_1+x_2=−b/a ​ and x_1⋅x_2=c/a

2. a⋅(x-x_1)(x-x_2)=0.

3. ax2+bx+c=a⋅(x-x_1)⋅(x-x_2)=0.

hope helped understandably