Question

If you know that 3+√11 is a root of a polynomial function, then the name given to 3-√11, another root of that same function, is a _____ conjugate.

Answer 1

complex

Answer 2

complex conjugate

Answer 3

But it's not a complex number

Answer 4

Surely 'complex' only applies when the roots are imaginary?

Answer 5

I thought it was just known as the conjugate. Perhaps it's the algebraic conjugate, or the quadratic conjugate.

Answer 6

its conjugate only

Answer 7

it is just called its conjugate. It does not have a special name like 'complex'. The complex conjugate is just a sub-case of all conjugates, which is extremely useful in fields like engineering, so it was given its own name. However, any two expression that are the same but separated by different signs (addition and subtraction), is simply called conjugates of each other.

Answer 8

this is old but isn't it radical conjugate?