Question

Find a polynomial equation with real coefficients that has the given roots: 3- i

Answer 1

complex roots always come in pairs, so find an equation which has two equal roots of 3-i

Answer 2

So would I do (3-i)(3-i) or is it negated

Answer 3

@Prathamesh_M

Answer 4

If the roots of an eqn are a and b then the eqn would be (x-a)(x-b).
Here the roots are 3-i and 3-i, so what would the equation be?

Answer 5

(3+i)(3+i)?

Answer 6

\[(x-(3-i))(x-(3-i))\]

Answer 7

Now expand that.