Get the most by viewing this topic in your current grade. Pick your course now.
Now Playing:Fundamental theorem of algebra– Example 1
Examples
Introduction to Fundamental Theorem of Algebra
For each polynomial, state the:
• degree of the polynomial
• nature of the roots
• number of roots
i) x3−2x2−13x−10
ii) x3−3x2−9x−5
iii) x3−6x2+8x−15
iv) x5−x4+x3−19x2+15x−63
Discuss the Possible Combinations of Roots
State the possible combinations of roots for each polynomial:
StudyPug is a learning help platform covering math and science from grade 4 all the way to second year university. Our video tutorials, unlimited practice problems, and step-by-step explanations provide you or your child with all the help you need to master concepts. On top of that, it's fun — with achievements, customizable avatars, and awards to keep you motivated.
We track the progress you've made on a topic so you know what you've done. From the course view you can easily see what topics have what and the progress you've made on them. Fill the rings to completely master that section or mouse over the icon to see more details.
Make Use of Our Learning Aids
Last Viewed
Practice Accuracy
Suggested Tasks
Get quick access to the topic you're currently learning.
See how well your practice sessions are going over time.
Make the most of your time as you use StudyPug to help you achieve your goals. Earn fun little badges the more you watch, practice, and use our service.
Create and Customize Your Avatar
Play with our fun little avatar builder to create and customize your own avatar on StudyPug. Choose your face, eye colour, hair colour and style, and background. Unlock more options the more you use StudyPug.
Fundamental Theorem of Algebra:
• Every polynomial can be factored into a product of linear factors and irreducible quadratic factors.
• A degree n polynomial has exactly n roots.
