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kompoz [17]
3 years ago
11

Using synthetic division, find (x^4 − 2) ÷ (x + 1).

Mathematics
1 answer:
AleksandrR [38]3 years ago
6 0
-1 | 1 ... 0 ... 0 ... 0 ... -2
... | ...... -1 .. 1 ... -1 ... 1
-------------------------------
... | 1 ... -1 .. 1 ... -1  |  -1

In other words,

\dfrac{x^4-2}{x+1}=x^3-x^2+x-1-\dfrac1{x+1}
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I need help with this!!! Thank you
ruslelena [56]

Answer:

4n^3-n^2-5n

Step-by-step explanation:

n(2n+4n2−5−3n)

=(n)(2n+4n2+−5+−3n)

=(n)(2n)+(n)(4n2)+(n)(−5)+(n)(−3n)

=2n2+4n3−5n−3n2

=4n3−n2−5n



6 0
3 years ago
The sides of a rectangle are x cm and 4 cm. Its<br>perimeter is 46 cm. Determine the value of x.​
Vedmedyk [2.9K]

Answer:

x = 19 cm

Step-by-step explanation:

perimeter = 46 = 2(x + 4)

2x + 8 = 46

2x = 38

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4 0
3 years ago
The greatest number of people drinks how many glasses of water
Greeley [361]
Assuming the frequency be the numbers of people, the greatest number of people should be 8, and they drank 6 glasses.
7 0
3 years ago
A triangle has one side length of 12 inches and another of 8 inches. Describe all possible lengths of the third side. Show and e
katrin [286]

Answer:

The third side must be smaller than 20 inches and greater than 4 inches

4

Step-by-step explanation:

Let a, b and c be the lengths of triangle's sides. Then

a+b>c\\ \\a+c>b\\ \\b+c>a

Use this rule in your case. So, if a=12 and b=8, then

12+8>c\\ \\12+c>8\\ \\8+c>12

Hence, you get

c-4\\ \\c>4

From these inequalities, you can state that

4

So, c must be smaller than 20 inches and greater than 4 inches.

5 0
3 years ago
Read 2 more answers
A ladybugs length measures 2cm express this measurement in meters explain your thinking include an equation with an exponent in
Ksivusya [100]
All we really need to do here is to convert 2 cm to meters.  There are 100 cm in 1 meter, so the appropriate cm to meters conversion factor is 

1 meter
-----------
100 cm

Thus, 

2 cm       1 m
-------- * ----------- = (1/50) m = 0.02 m      or  2.0*10^(-2) m     (answer)
    1        100 cm
7 0
3 years ago
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