SOLUTION: Determine all the real and imaginary roots of P(x). P(x)= 2x^3-11x^2+10x+8

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Question 636776: Determine all the real and imaginary roots of P(x).
P(x)= 2x^3-11x^2+10x+8
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

P(x)= 2x^3-11x^2+10x+8   |Note: x = 4 is a root

using Synthetic Divsion

4	2	-11	10      8

 	 	 8         -12     -8

 	2	-3     -2	 0

yields

    2x^2 - 3x -2 = 0

x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+

x+=+%283+%2B-+sqrt%28+25+%29%29%2F%284%29+

x+=+3%2F4+%2B-+5%2F4+

   x = 2  0r  x = -1/2

Roots:  -1/2,  2,  4