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Roman55 [17]
2 years ago
13

The table below shows some input and output values for a function named F(n)

Mathematics
1 answer:
Serjik [45]2 years ago
5 0
The answer is C. (3n+5)
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9514 1404 393

Answer:

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Step-by-step explanation:

We can write the polynomial p(x) in terms of the factors (x+2) and (x-3) as ...

  p(x) = (x+2)(x-3)q(x) +ax +b

Where ax+b is the remainder from division by x^2 -x -6 = (x+2)(x-3). The values of 'a' and 'b' can be found from ...

  p(-2) = 8 = -2a +b

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Subtracting the first equation from the second gives ...

  (3a +b) -(-2a +b) = (-2) -(8)

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Then the first equation tells us ...

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So, the remainder from division by (x^2 -x -6) is (-2x +4).

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