Question

Need pre calculus help!
Write a polynomial that has the given numbers as roots.

1) -3, 2 + sqrt 3

2) 5, 3+2i, 1-3i

Answer 1

1)(x+3)*(x-2)*(x-sqrt3)=expand
2) (x-5)*(x-(3+2i))*(x-(1-3i))=expnd

Answer 2

Okay so would I just multiply it until I get the polynomial equation?

Answer 3

yes

Answer 4

I'm being picky, but "the polynomial" really should be "a polynomial". \(x-1\) and \(2(x-1)\) are polynomials with the same roots, for instance.