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Mathematics

When polynomial x3 - 3x2 - 6x + 8 is divided by (x + 2), the remainder is zero. The probability of (x + 2) to be one of the factors of the given polynomial is:

  1. 0

  2. 13\dfrac{1}{3}

  3. 23\dfrac{2}{3}

  4. 1

Factorisation

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Answer

Since, on dividing x3 - 3x2 - 6x + 8 by (x + 2), the remainder is zero.

Thus, (x + 2) is the polynomial of x3 - 3x2 - 6x + 8.

∴ The probability of (x + 2) to be one of the factors of the polynomial = 1.

Hence, option 4 is the correct option.

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