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31 December, 00:11

If function g has the factors (x - 7) and (x + 6), what are the zeros of function g?

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Answers (2)
  1. 31 December, 00:18
    0
    The zeros would be x = 7, - 6

    Step-by-step explanation:

    When you graph this, you can clearly see where the values cross the x-axis. It's easier to remember to just switch the values though. So x - 7 means there's a zero at + 7.
  2. 31 December, 00:45
    0
    -6 or 7

    Step-by-step explanation:

    The factors of g tell us the zeros of g by factor theorem.

    That is, g (c) = 0 if and only if x-c is a factor.

    Since g (x) = (x-7) (x+6) then g (7) = 0 and g (-6) = 0.

    Since those two x values output 0, then those x values are called the zeros.

    Solutions: - 6 or 7
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