sallyisdancingouetou sallyisdancingouetou
  • 09-08-2017
  • Mathematics
contestada

the polynomial p(x)=x^3+2x-11 has a real zero between which two consecutive integers?

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Аноним Аноним
  • 17-08-2017
Given:
p(x) = x³ + 2x - 11

Create a table of p(x) versus x for integral values of x from -2 to 2.
  x    p(x)
---  -------
-2   -23
-1    -14
 0    -11
  1    -8
  2     1

A change in sign occurs for p(x) in the interval 1 ≤ x ≤ 2.
Therefore a real zero exists in this interval.

Answer: Between 1 and 2.
A real zero of p(x) occurs between x = 1  and x = 2.

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