How many possible roots of f(x)=x⁴ + 5x³+ 3x²+ 2x + 6 are there?​

Question

How many possible roots of f(x)=x⁴ + 5x³+ 3x²+ 2x + 6 are there?​

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Thu Thủy 5 years 2021-08-17T11:19:42+00:00 2 Answers 18 views 0

Answers ( )

  1. RobertKer
    0
    2021-08-17T11:21:38+00:00
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    Answer:

    4

    Step-by-step explanation:

    The Fundamental theorem of algebra states that a polynomial of degree n has n roots, some may be complex.

    f(x) = x^{4} + 5x³ + 2x + 6 ← is a polynomial of degree 4

    Thus there are 4 possible roots

  2. dangkhoa
    0
    2021-08-17T11:21:41+00:00
    Reply

    Answer:

    4 possible roots.

    Step-by-step explanation:

    This has degree 4.

    So it will have one of the following sets of roots.

    4 real roots.

    2 real and 2 complex roots.

    4 complex roots.

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