9-9 Fundamental Theorem of Algebra Notes.notebook

9­9 Fundamental Theorem of Algebra Notes.notebook
Remember how you solved...
Find a polynomial equation having the given roots.
April 28, 2016
What if you were given the roots and asked for the equation?
Find a polynomial equation having the given roots.
9­9 Fundamental Theorem of Algebra Notes.notebook
Find a polynomial equation having the given roots.
April 28, 2016
Fundamental Theorem of Algebra
• Every polynomial equation with complex coefficients has at least one root.
• Every polynomial equation with complex coefficients and positive degree n has exactly n complex roots
If a polynomial equation with real coefficients has a + bi as a root, then a ­ bi is also a root.
1.) 3i
2.) 5 - 6i
3.) -i
4.) -2 + 5i
Find all other roots if one of the roots is .
9­9 Fundamental Theorem of Algebra Notes.notebook
April 28, 2016
Find all other roots if one of the roots is .
Find all other roots if one of the roots is x = ­3.