Algebra help needed to solve a problem about Factor Theorem

Algebra
Tutor: None Selected Time limit: 1 Day

Use the Factor Theorem to find a polynomial equation, of lowest possible degree, that has only the indicated roots.

3, -2, sqrt of 2, - sqrt of 2

"-" means negative

Nov 1st, 2015

Thank you for the opportunity to help you with your question!

i will send you tha answer just a few minute

Please let me know if you need any clarification. I'm always happy to answer your questions.
Nov 1st, 2015

The answer :
 

(x - 3)(x + 2)(x² - 2) = 0

so :   (x² + 2x - 3x - 6)(x² - 2) = 0

so :  (x² - x - 6)(x² - 2) = 0

so :  (x^4 - 2x² - x^3 + 2x - 6x² + 12) = 0

so :  x^4 - x^3 - 8x^2 + 2x +12 = 0

so the polynomial is :  P(x) = x^4 - x^3 - 8x^2 + 2x +12 

Nov 1st, 2015

Are you studying on the go? Check out our FREE app and post questions on the fly!
Download on the
App Store
...
Nov 1st, 2015
...
Nov 1st, 2015
Dec 5th, 2016
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer