DeadShot
  • DeadShot
According to The Fundamental Theorem of Algebra, how many zeros does the function f(x) = 3x4 + x + 2 have?
Mathematics
jamiebookeater
  • jamiebookeater
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terenzreignz
  • terenzreignz
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?
DeadShot
  • DeadShot
4, right?
terenzreignz
  • terenzreignz
That's right, so it must have that many complex roots.

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DeadShot
  • DeadShot
ok, so it would have about 4 zeros, right?
terenzreignz
  • terenzreignz
not about... EXACTLY four zeros. This is true as long as we're working with complex roots.
DeadShot
  • DeadShot
okay, i think I get it
DeadShot
  • DeadShot
Thanks!
terenzreignz
  • terenzreignz
Anytime :)

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