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Division Algorithm for a Polynomial

Obtain all th...

Question

Obtain all the zeros of 2 x^ 4 - 3 x^3 - 3 x^2 + 6 x- 2 if two of its zeros are √2 and- √2.

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Q. Find all the zeros of the polynomial

f (x) = 2 x^{4} - 3 x^{3} - 3 x^{2} + 6 x - 2

, if two of its zeros are

\sqrt{2}

- \sqrt{2}

.

Q. Find all the zeros of the polynomial

2 x^{4} - 3 x^{3} - 3 x^{2} + 6 x - 2

if you know that two of its zeros are

\sqrt{2}

- \sqrt{2}

Q. Obtain all the zeros of

3 x^{4} + 6 x^{3} - 2 x^{2} - 10 x - 5

, if two of its zeros are

\sqrt{\frac{5}{3}}

- \sqrt{\frac{5}{3}}

Q. Obtain all other zeros of

3 x^{4} + 6 x^{3} - 2 x^{2} - 10 x - 5

, if two of its zeros are

\sqrt{\frac{5}{3}}

- \sqrt{\frac{5}{3}}

Q. Obtain all other zeroes of

3 x^{4} + 6 x^{3} - 2 x^{2} - 10 - 5

i f t w o i t s z e r o s a r e \sqrt{\frac{5}{3}} a n d - \sqrt{\frac{5}{3}}

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