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DeadShot

  • 3 years ago

According to The Fundamental Theorem of Algebra, how many zeros does the function f(x) = 3x4 + x + 2 have?

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  1. terenzreignz
    • 3 years ago
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    The gist of the Fundamental Theorem of Algebra is that a polynomial with complex coefficients (real numbers are also complex!) of degree n will have exactly n-complex roots. What's the degree of this polynomial?

  2. DeadShot
    • 3 years ago
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    4, right?

  3. terenzreignz
    • 3 years ago
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    That's right, so it must have that many complex roots.

  4. DeadShot
    • 3 years ago
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    ok, so it would have about 4 zeros, right?

  5. terenzreignz
    • 3 years ago
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    not about... EXACTLY four zeros. This is true as long as we're working with complex roots.

  6. DeadShot
    • 3 years ago
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    okay, i think I get it

  7. DeadShot
    • 3 years ago
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    Thanks!

  8. terenzreignz
    • 3 years ago
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    Anytime :)

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