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gtnhenbr [62]
3 years ago
5

Use long division to determine the quotient of the polynomials. (x3 – 7x – 6) ÷ (x – 4) Which of the following options best desc

ribes the relationship between the polynomial division and the remainder?
a. The quotient has a remainder of zero. Therefore, the divisor is a factor of the dividend.
b. The quotient has a remainder of 9. Therefore, the divisor is not a factor of the dividend.
c. The quotient has a remainder of 30. Therefore, the divisor is not factor of the dividend.
d. The quotient has a remainder of 36. Therefore, the divisor is a factor of the dividend.

Mathematics
1 answer:
Lelechka [254]3 years ago
4 0

Answer:

The correct option is c.

Step-by-step explanation:

The quotient of the polynomials is

\frac{(x^3-7x-6)}{x-4}

We need to find the remainder by using long division method.

The dividend of the given expression is

Dividend=x^3-7x-6

Divisor=x-4

The long division method is shown below.

\frac{(x^3-7x-6)}{x-4}=(x^2+4x+9)+\frac{30}{x-4}

From the below attachment it is clear that the quotient has a remainder of 30. Therefore, the divisor is not factor of the dividend.

Therefore the correct option is c.

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A right circular cylinder has a base radius of 56 mm and a height of 128 mm. What is its volume in cubic centimeters? Round the
anzhelika [568]

Answer:

V = 1261 mm2

Step-by-step explanation:

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V = Pi*(r^2)*h

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4 0
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if simplified is 30

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William has 24 24 cans of fruit and 60 60 cans of vegetables that he will be putting into bags for a food drive. He wants each b
Snezhnost [94]

Answer:

William will make 12 bags of food and each of the bag will contains 2 cans of fruit and 5 cans of vegetables.

Step-by-step explanation:

Given:

Number of fruits cans = 24

Number of veggies cans = 60

William will have to distribute them in equal bags with equal cans of fruits and vegetables respectively.

For this:

We have to find the GCF (greatest common factor) of 24 and 60.

GCF by listing out the factors method.

Factors of 24  : 1,2,3,4,6,8,12,24

Factors of 60 : 1,2,3,4,5,6,10,12,15,20,30,60

So,

The greatest common factor of 24 and 60 is 12.

The number of bags William will used for equal distribution = 12

Now,

We have to distribute the veggies and fruits in equal number of cans to these 12bags.

Number of fruits cans used in each bag = \frac{24}{12} = 2

Number of vegetables can used in each bag = \frac{60}{12} =5

We can say that:

William will make 12 bags of food and each of the bag will contains 2 cans of fruit and 5 cans of vegetables.

4 0
3 years ago
Please help. Give answer and why its the answer. <br>I will give brainliest!
777dan777 [17]
(a) False. The number 7 is NOT an element of set B as 7 is not in the set B (2, 3, 4 and 0 are though)

(b) False. 3 is a member of set A. It is the third element listed in the set. So saying "3 is not a member of set A" is a false claim

(c) True. The value 0 is found in set B. It is the last element listed. 

Final Answer: Choice C) 
7 0
3 years ago
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