# Roots and Degrees

• October 24th 2008, 01:37 PM
monkius
Roots and Degrees
determine an equation of degree 3 with roots x=3 +- i and x=-4
Is this equation unique?

thanks for help!i have no idea oh how to formulate an equation with those roots
• October 24th 2008, 01:45 PM
Jhevon
Quote:

Originally Posted by monkius
determine an equation of degree 3 with roots x=3 +- i and x=-4
Is this equation unique?

thanks for help!

a cubic equation with roots $r_1,~r_2,~r_3$ can be written as $a(x - r_1)(x - r_2)(x - r_3)$

this is not unique. because you can have different values for $a$