SOLUTION: Find the roots of x3 + 4x2 � 4x � 16 = 0 Write your answers in ascending order.

Question 1014686: Find the roots of x3 + 4x2 � 4x � 16 = 0
Write your answers in ascending order.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

According to the Rational Roots Theorem, if there are any rational zeros, they are of the form

where

is an integer factor of the constant term and

is an integer factor of the lead coefficient.

Hence the possible rational zeros are:

Use Synthetic Division to test each possible zero until you have found 3 rational zeros, 1 rational zero, or no rational zeros and have exhausted all of the possibilities. Hint: there are 3 rational zeros for this cubic equation, so if you don't find all three, check your synthetic division arithmetic.

See Purple Math Synthetic Division for a refresher on Synthetic Division, if necessary. Note that there are four pages on this topic.

John

My calculator said it, I believe it, that settles it

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