Polynomial Roots
DRAFT!
A Polynomial looks like this:
 |
| example of a polynomial this one has 3 terms |
A polynomial has coefficients:
The terms are in order from highest to lowest exponent
(Technically the 7 is a constant, but here it is easier to think of them all as coefficients.)
A polynomial also has roots:
A "root" (or "zero") is where the polynomial is equal to zero.
Example: 3x − 6 equals zero when x=2, because 3(2)−6 = 6−6 = 0
Where are the Roots (Zeros)?
It can sometimes be hard to find where the roots are!
... where should we search ... how far left or right should we go?
Radical conjugate roots
Complex conjugate root theorem
Bounds on (complex) polynomial roots
Also see polynomials-bounds-zeros