Algebra help needed about roots

Algebra
Tutor: None Selected Time limit: 1 Day

Determine all of the roots of 2x^3 - 11x^2 + 4x + 5 = 0  if 1 is known to be one of the roots.

Nov 1st, 2015

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

If 1 is know to be one of the roots, then (x - 1) must be one of the factors.

Then, divide x - 1 into 2x^3 - 11x^2 + 4x + 5 to get:

2x^2 - 9x - 5  which factors into (2x+1)(x - 5)

Then, 2x+1 = 0

2x = -1

x = -1/2

and

x - 5 = 0

x = 5

Then, all the roots are -1, 1, 5

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

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Nov 1st, 2015
...
Nov 1st, 2015
Mar 27th, 2017
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