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Discriminant

If 2/√3 and -...

Question

If 2/√3 and -2/√3 are roots of polynomial 3x^4-12x^3+5x^2+16x-12, thenfind the other two roots.

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Q. Obtain all the zeroes of the polynomial

3 x^{4} - 12 x^{3} + 5 x^{2} + 16 x - 12,

if two of its zeroes are

\frac{2}{\sqrt{3}} a n d \frac{- 2}{\sqrt{3}} .

Q. Obtain all roots of the polynomial

x^{4} - 3 \sqrt{2} x^{3} + 3 x^{2} + 3 \sqrt{2 x} + 4,

if two of its roots are

\sqrt{2}, a n d, 2 \sqrt{2}

Q. Find the square root of the polynomial:

9 x^{4} + 12 x^{3} + 28 x^{2} + 16 x + 16

using division method.

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- 3

are two roots of the polynomial

(x^{4} + x^{3} - 11 x^{2} - 9 x + 18)

, find all the roots of the given polynomial.

Q. If one root of the equation

4 x^{3} - x^{2} - 16 x + 4 = 0

8

times the other, then the roots are

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