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2 years ago

7

The polynomial function f(x) = -(x-2)(x+2)(x-3)

1 answer:

Vlad1618 [11]2 years ago

7 0

Answer:

C.

Step-by-step explanation:

the provided function has zeros at -2;2;3 and f(x)∈(-∞;+∞).

Then the correct answer is f(x)→-∞ as x →∞.

For more info see the attached graph.

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3 years ago

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3 years ago

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.

musickatia [10]

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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