aaliyahrenee54 aaliyahrenee54
  • 22-07-2020
  • Mathematics
contestada

Which of the following represents the set of possible rational roots for the
polynomial shown below?
2^2+ 5^2 – 8x– 10 = 0

Respuesta :

LazyBun
LazyBun LazyBun
  • 22-07-2020
Answer: plus or minus 1, 1/2, 2, 5, 5/2, and 10


Explanation:

To find the possible roots

We first find the factor of the constant term:

10: 1, 2, 5, 10

Then we find the factor of leading coefficient:

2: 1, 2

And the possible rational roots are:

Plus or minus [1/1, 1/2, 2/1, 2/2, 5/1, 5/2, 10/1, 10/2]

Then we get rid of the duplicate:

Plus or minus [1, 1/2, 2, 5, 5/2, 10]

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