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10 September, 00:23

Which of the number (s) below are potential roots

of the function?

p (x) = x4 + 22x2 - 16x - 12

+6

3

+1

+3

+8

+1
Answers (1)
  1. 10 September, 00:45
    0
    +1 is the potential root of the function.

    Step-by-step explanation:

    Given;

    p (x) = x⁴ + 22x⁴ - 16x - 12

    A potential root of the function is zero of the function. That is a potential root will reduce the function to zero or close to zero.

    To determine this, we test each of the root given;

    p (6) = (6) ⁴ + 22 (6) ⁴ - 16 (6) - 12 = 29700

    p (3) = (3) ⁴ + 22 (3) ⁴ - 16 (3) - 12 = 1803

    p (1) = (1) ⁴ + 22 (1) ⁴ - 16 (1) - 12 = - 5

    p (8) = (8) ⁴ + 22 (8) ⁴ - 16 (8) - 12 = 94068

    The only number that reduces the function close to zero is + 1, then + 1 is the potential root of the function.
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