# Algebra help needed about roots

Anonymous
timer Asked: Nov 1st, 2015
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### Question Description

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

Vincent A
School: New York University

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.

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Review

Anonymous
Excellent job

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