Solving Equations with Roots
11th Grade · Math · 45 min
Lesson Preview
Learning Objective
I can solve a 4th degree equation given it's roots
- 1
According to the fundamental theorem of algebra, a fourth degree equation will have four solutions, also known as roots.
- 2
Synthetic division can be used to divide the original polynomial by the given roots to simplify the equation and find the remaining roots.
- 3
The quadratic formula, x = (-b ± √(b² - 4ac)) / 2a, is used to solve for the roots of a quadratic equation that cannot be factored, potentially resulting in imaginary solutions.
