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22 May, 06:07

A polynomial function has roots - 6 and 2. Which of the following could represent this function?

f (x) = (x + 6) (x + 2)

f (x) = (x - 6) (x - 2)

f (x) = (x - 6) (x + 2)

f (x) = (x + 6) (x - 2)

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Answers (2)
  1. 22 May, 06:13
    0
    the answer is 4

    Step-by-step explanation:

    just did it on edge.

    your welcome
  2. 22 May, 06:36
    0
    f (x) = (x + 6) (x - 2)

    Step-by-step explanation:

    The roots of a polynomial are the solutions to its factors. This means you can set the factors equal to 0 and the roots are the solution. Working backwards, if the roots are x = - 6 and x = 2 then they must have resulted from factors x + 6 and x - 2. This is true since x + 6 = 0 has solution x = - 6. And x-2 = 0 has solution x = 2.

    So the polynomial has factors (x+6) (x-2). The solution is f (x) = (x + 6) (x - 2).
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