SOLUTION: Hi there, Could one of the tutors help me with this homework question? Solve for x: 2x^3 + 6x^2 - x = 3.(4 marks)

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Question 190676: Hi there, Could one of the tutors help me with this homework question?
Solve for x: 2x^3 + 6x^2 - x = 3.(4 marks)
Answer by orca(409)   (Show Source): You can put this solution on YOUR website!
We need to factor it first.


grouping the terms
Factor into

As , then either or
Solving , we have
Solving , we have


or
So the three roots are:



Normally, the last two roots need to be rationalized. So the final result is:
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