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Degree of a Polynomial

Find all the ...

Question

Find all the zeros of the polynomial 2x³ + x² − 6x − 3, if two of its zeros are $- \sqrt{3} and \sqrt{3}$ .

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Solution

We know that if is a zero of a polynomial, and then is a factor of .

Since and are zeros of .

Therefore

is a factor of .Now, we divide by to find the other zeros of .

By using division algorithm we have

Hence, the zeros of the given polynomial are.

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