SOLUTION: 2x^5-x^4-4x^3+2X^2-30X+15 I need help on finding zeros of this polynomial

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Question 33690: 2x^5-x^4-4x^3+2X^2-30X+15
I need help on finding zeros of this polynomial
Answer by sarah_adam(201) About Me  (Show Source):
You can put this solution on YOUR website!
2%28x%5E5%29-%28x%5E4%29-4%28x%5E3%29%2B2%28x%5E2%29-30%28x%29%2B15
%28x%5E4%29%282x-1%29-2%28x%5E2%29%282x-1%29-15%282x-1%29
(2x-1)[%28x%5E4%29-2%28x%5E2%29-15]
(2x-1)[%28x%5E4%29-5%28x%5E2%29%2B3%28x%5E2%29-15]
(2x-1)[%28x%5E2%29%28x%5E2-5%29%2B3%28x%5E2-5%29]
(2x-1)%28x%5E2%2B3%29%28x%5E2-5%29
to find zer0 of this polynomial:
(2x-1)%28x%5E2%2B3%29%28x%5E2-5%29 = 0
(2x-1) = 0
2x = 1
x = 1/2


or %28x%5E2%2B3%29 = 0
x%5E2 = -3
x = plus or minus sqrt%283%29

or
%28x%5E2+-+5+%29 = 0
x%5E2 = 5
x = plus or minus sqrt%285%29