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., .

area = length x width

length = 2 x width

32 = 2 x width x width

32 = 2 x width^2

36 = width ^2  

width = 6

length = 12

area is 32

perimeter = 2 x 12 + 2 x 6 = 24 + 12 = 36

step-by-step explanation:

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