Question

Find all zeroes of the Polynomial
8x^4+8x^3-18x²-20x-5. If it is given that two of its zeroes are √5/√2 & -√5/√2​

Answer 1

-1/2, - 1/2 are the other zeroes of the Polynomial

8x^4+8x^3-18x²-20x-5.

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Answer 2

Given ,

P(x) = 8x^4+8x^3-18x²-20x-5

zeros are √5/√2 & -√5/√2

x = √5/√2 and

x = -√5/√2

X^2 = -5/2

» 2x^2+5= 0

dividing it with p(x) we get

4X^2.+4x+1

» (2x +1)^ = 0

X = -1/2 and -1/2