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Umnica [9.8K]
3 years ago
8

HELP PLEASE!!!!Which of the following is a polynomial with roots:

Mathematics
1 answer:
sergey [27]3 years ago
3 0

Answer:

P(x) =  x^{3}  - 2x^{2} -3x + 6 is the desired polynomial.

Step-by-step explanation:

The roots of the  polynomial is \sqrt{3}, -\sqrt{3}  and 2.

Hence, the zeroes of the polynomial with respective roots is:

(x - \sqrt{3}), (x + \sqrt{3} ) and (x -2)

Now, if we multiply all the zeroes, we get the desired polynomial.

P(x) = (x - \sqrt{3})(x + \sqrt{3} )(x -2)

or, P(x) =  (x^{2}  - 3)(x-2) = x^{3}  - 2x^{2} -3x + 6

or, P(x) =  x^{3}  - 2x^{2} -3x + 6

Hence, option D is the correct option.

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