Obtain all other zeros of $3 x^{4} + 6 x^{3} - 2 x^{2} - 10 x - 5$ , if two of its zeros are $\sqrt{\frac{5}{3}}$ and $- \sqrt{\frac{5}{3}}$

- 1, - 1

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2, - 1

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1, - 2

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- 1, - 2

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Solution

The correct option is A $- 1, - 1$
As the two zeros are $\sqrt{\frac{5}{3}}$ and $- \sqrt{\frac{5}{3}}$
$(x - \sqrt{\frac{5}{3}}) (x + \sqrt{\frac{5}{3}}) = x^{2} - \frac{5}{3}$ wiil be a factor of the polynomial. We will divide the given polynomial by $x^{2} - \frac{5}{3}$ to get the remaining zeros.

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Question 3
Obtain all other zeroes of $3 x^{4} + 6 x^{3} - 2 x^{2} - 10 x - 5$ , if two of its zeroes are $\sqrt{\frac{5}{3}} a n d - \sqrt{\frac{5}{3}}$ .

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}}

and

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

Q. Obtain all zeros of the polynomial

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

if two of its zero are

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

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

Question 3
Obtain all other zeroes of $3 x^{4} + 6 x^{3} - 2 x^{2} - 10 x - 5$ , if two of its zeroes are $\sqrt{\frac{5}{3}} a n d - \sqrt{\frac{5}{3}}$ .

Q. Find all zeroes of polynomial

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

if two zeroes are

\sqrt{3 / 5}

and

- \sqrt{3 / 5}

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Obtain all other zeros of 3x4+6x3−2x2−10x−5, if two of its zeros are √53 and −√53

The correct option is A −1,−1As the two zeros are √53 and −√53(x−√53)(x+√53)=x2−53 wiil be a factor of the polynomial. We will divide the given polynomial by x2−53 to get the remaining zeros.

Obtain all other zeros of $3 x^{4} + 6 x^{3} - 2 x^{2} - 10 x - 5$ , if two of its zeros are $\sqrt{\frac{5}{3}}$ and $- \sqrt{\frac{5}{3}}$