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28 November, 09:32

If a polynomial function f (x) has roots 3 and StartRoot 7 EndRoot, what must also be a root of f (x) ?

Negative StartRoot 7 EndRoot

i StartRoot 7 EndRoot

-3

3i

+2
Answers (1)
  1. 28 November, 09:52
    0
    The answer is - 7

    Step-by-step explanation:

    ∵ The polynomial has roots 3 and √7

    ∴ It must have root - √7 the conjugate of √7

    ∴ The roots of f (x) are 3, √7, - √7

    (one rational and two irrational conjugate to each other)
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