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15 September, 23:15

Two roots of a 3-degree polynomial equation are 5 and - 5. Which of the following cannot be the third root of the equation?

0

-5i

-5

5i

5

+3
Answers (1)
  1. 16 September, 02:26
    0
    - 5i and 5i

    Step-by-step explanation:

    The Fundamental theorem of Algebra states that a polynomial of degree 3 has 3 roots, real and / or complex.

    Complex roots occur in conjugate pairs.

    Given 2 real roots x = 5, x = - 5

    There cannot be complex roots as they occur in pairs which would result in the polynomial having 4 roots instead of 3.
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