Question

Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros.

1) i, 2 - √3
2) 1, 4, 1 + √2

Answer 1

@Mertsj Please Help!

Answer 2

If i is a root, -i is also a root. If 2-sqrt3 is a root then 2+sqrt3 is also a root.

Answer 3

So the equation is:
\[(x-i)(x+i)(x-(2-\sqrt{3}))(x-(2+\sqrt{3}))=0\]

Answer 4

Now need to multiply out and simplify.

Answer 5

How do you multiply this??

Answer 6

What is (x-i)(x+i)?

Answer 7

Isn't both -i and +i