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.

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 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

So, by remainder theorem, remainder of is f(-6).

Since the remainder is 14, therefore

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

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Step-by-step explanation: