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PilotLPTM [1.2K]
3 years ago
12

What does the remainder theorem conclude given that f(x)/x+6 has a remainder of 14? Enter your answer by filling in the boxes.​

Mathematics
1 answer:
musickatia [10]3 years ago
6 0

Answer:

f(-6)=14

Step-by-step explanation:

According to the remainder theorem, if a function f(x) is divided by (x-a), then the remainder is defined by f(a).

It is given that \dfrac{f(x)}{x+6} has a remainder of 14.

Here, the function f(x) is divided by (x+6). So, on comparing (x+6) and (x-a), we get

a=-6

So, by remainder theorem, remainder of \dfrac{f(x)}{x+6} is f(-6).

Since the remainder is 14, therefore

f(-6)=14

Therefore, the answer for first blank is -6 and for second blank is 14, i.e., f(-6)=14.

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