Solving Equations with Roots
Grade 11th Grade · Math · 45 min
What's Included
Learning Objective
I can solve a 4th degree equation given it's roots
Warm-Up Video
Mr. S Math · 5:54
Solving a Polynomial Equation Given Roots
Guided Notes
3 key concepts
- 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.
Practice Questions
10 questions · Multiple choice & Short answer & True/false & Fill in the blank
Exit Ticket
Quick comprehension check
“Solve for all roots of the equation x⁴ - x³ - x² + x = 0, given that x = 1 and x = -1 are roots.”
Complete Lesson Package
Get all 3 ready-to-use resources:
