F(x)=2x^4-2x^3-7x^2+3x+6. If it's two zeroes are- root over 3/2 and root over 3/2
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F(x) =2x⁴-2x³-7x²+3x+6.
Let x=√3/2
x - √3/2 =0
Similarly
(x-√3/2) (x+√3/2) use identity
x² - 3/2 = 0
2x²-3 = 0
Divide
=2x⁴-2x³-7x²+3x+6 / 2x²-3
= x²-x-2 = 0
x²-2x + x -2 = 0
x ( x - 2) +1 (x-2) =0
(x+1) (x-2)
x= -1 , x = 2
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