Hey Guys, Plz help me out...
Find all the zeroes of polynomial 8x⁴+8x³+-18x²-20x-5
if two zeroes are √5/2 and (-√5/2)
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l think this is your answer ☝️☝️
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Other zeroes = . 1/2 of
polynomial 8x4 + 8x3 - 18x2
- 20x - 5 if two of its zeroes
arev(5/2) and - V(5/2)
Step-by-step explanation:
8x4 + 8x3 - 18x2 - 20x-5
two of its zeroes are v(5/2) and - V(5/2)
(x - V(5/2))(x + V(5/2))
= x2 - 5/2
= (2x - 5)/2
=> (2x2 - 5 ) is one of the factor
2
8x4 + 8x3 - 18x2 - 20x-5
= (2x2 - 5) (4x2 + 4x + 1)
4x2 + 4x + 1
= 4x2 + 2x + 2x + 1
=
=
+
= 2x(2x + 1) + 1(2x + 1)
= (2x + 1)(2x + 1)
+
Other zeroes = . 1/2
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