SOLUTION: Find all the zeros of P(x)=2x^3 - x^2 - 15x +18. If you can show your work on how this problem was solved it will really help me to learn. Thanks

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Question 886917: Find all the zeros of P(x)=2x^3 - x^2 - 15x +18.
If you can show your work on how this problem was solved it will really help me to learn. Thanks

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
Find all the zeros of P(x)=2x^3 - x^2 - 15x +18.
Use the rational roots theorem:
With synthetic division
....0...|....2......-1.......-15.....18
....1...|....2.......1.......-14......4
....2.. |....2.......3.......-9........0 (2 is a root)
(x-2)(2x^2-3x-9)=0
(x-2)(x+3)(2x-3)=0
zeros are: -3, 3/2, 2

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