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18 August, 15:50

Two roots of a third degree polynomial function f (x) are - 4 and 4. Which statement describes th

roots for this function?

f (x) has three complex roots.

f (x) has three real roots.

f (x) has two real roots and two complex roots.

Of (x) has three real roots and one complex root.

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Answers (1)
  1. 18 August, 16:18
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    f (x) has 3 real roots

    Step-by-step explanation:

    According to the Fundamental theorem of Algebra.

    A polynomial of degree n has n roots, which can be real or complex or both.

    Thus a polynomial of degree 3 has 3 roots.

    Two real roots are given

    Complex roots occur in conjugate pairs, thus there cannot be an odd number of complex roots.

    Thus f (x) has three real roots.
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