The Fundamental Theorem of Algebra shows how important complex numbers are when we look at polynomials.
Here’s what it says:
Roots and Degree: If you have a polynomial like ( P(x) = x^3 - 2 ), it has a degree of 3. This means it will have 3 roots.
Complex Roots: Sometimes, these roots aren't real numbers. They can be complex numbers. For example, a polynomial might have roots like ( 1 ), ( -1 ), and ( i ) (where ( i ) represents an imaginary number).
This is really interesting because it shows how complex numbers help us understand polynomials better!
The Fundamental Theorem of Algebra shows how important complex numbers are when we look at polynomials.
Here’s what it says:
Roots and Degree: If you have a polynomial like ( P(x) = x^3 - 2 ), it has a degree of 3. This means it will have 3 roots.
Complex Roots: Sometimes, these roots aren't real numbers. They can be complex numbers. For example, a polynomial might have roots like ( 1 ), ( -1 ), and ( i ) (where ( i ) represents an imaginary number).
This is really interesting because it shows how complex numbers help us understand polynomials better!