sean8668
sean8668 sean8668
  • 18-01-2021
  • Mathematics
contestada

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

Respuesta :

jimrgrant1 jimrgrant1
  • 18-01-2021

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) = [tex]x^{4}[/tex] + 5x³ + 2x + 6 ← is a polynomial of degree 4

Thus there are 4 possible roots

Answer Link
cwrw238 cwrw238
  • 18-01-2021

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.

Answer Link

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