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Y_Kistochka [10]
3 years ago
7

If f(p) divided by x-p and x-q have the same remainder

Mathematics
1 answer:
oee [108]3 years ago
3 0
Hello,


x^2-y^2=(x+y)(x-y)
x^3-y^3=(x-y)(x²+xy+y²)

Let's use Horner's division

.........|a^3|a^2.|a^1..........|a^0
.........|1....|5....|6..............|8....
a=p...|......|p....|5p+p^2....|6p+5p^2+p^3
----------------------------------------------------------
.........|1....|5+p|6+5p+p^2|8+6p+5p^2+p^3

The remainder is 8+6p+5p^2+p^3 or 8+6q+5q^2+q^3


Thus:
8+6p+5p^2+p^3 = 8+6q+5q^2+q^3
==>p^3-q^3+5p^2-5q^2+6p-6p=0
==>(p-q)(p²+pq+q²)+5(p-q)(p+q)+6(p-q)=0
==>(p-q)[p²+pq+q²+5p+5q+6]=0 or p≠q
==>p²+pq+q²+5p+5q+6=0

And here, Mehek are there sufficients explanations?
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Principal = $2,400<br> Rate = 4%<br> Time = 30 months
grandymaker [24]

Answer:

$240

Step-by-step explanation:

I = prt

I = (2,400) (0.04) (2.5)  

note: I changed 4% to a decimal and 30 months to 2.5 years

I = 96 (2.5)

I = 240   <-- The interest

------------------------------------------------------------------------------------------------------------

The simple interest accumulated on a principal of $ 2,400.00  at a rate of 4% per year for 2.5 years (30 months) is $240.00.

---------------------------------------------------------------------------------------------------------

* Last time I did interest was in 6th grade and I don't remember much. So I am very sorry if my answer is wrong *

3 0
3 years ago
A bag is filled with green and blue marbles. There are 105 marbles in the bag. If there are 25 more green marbles than blue marb
Talja [164]

Answer:

Step-by-step explanation:

we have 105 marbles

number of blue marbles= x

green marbles= x+25

x+x+25=105

2x=105-25

2x=80

x=40 blue marbles

3 0
3 years ago
601.584 to the nearest tenth
son4ous [18]
The answer is 601.6
:)))
7 0
2 years ago
A, B , and C are collinear points: B is between A and C. If AB = 36, BC = 5x - 9 , and AC = 54 , find x
balandron [24]

9514 1404 393

Answer:

  x = 5.4

Step-by-step explanation:

The segment sum theorem tells you ...

  AB +BC = AC

  36 +(5x -9) = 54

  5x = 27 . . . . . . . . . . . subtract 27 from both sides

  x = 5.4 . . . . . . . . . . divide by 5

4 0
3 years ago
Jerry took a sample of 4 employees in his office and observed how many hours they each worked one day.
Illusion [34]

The error in Jerry's calculation is 4.84

The number of employees, N = 4

The mean is calculated as:

\mu = \frac{10+2+4+8}{4} \\\mu = \frac{24}{4} \\\mu = 6

The formula for the standard deviation is:

SD =\sqrt{\frac{\sum{(x-\mu)^2}}{N} }

This can be further calculated as:

SD = \sqrt{\frac{(10-6)^2+(2-6)^2+(4-6)^2+(8-6)^2}{4} }\\\\SD = \sqrt{\frac{4^2+(-4)^2+(-2)^2+(2)^2}{4} } \\\\SD = \sqrt{\frac{16+16+4+4}{4} } \\\\SD = \sqrt{\frac{40}{4} } \\\\SD = \sqrt{10} \\\\SD = 3.16

Jerry thinks the Standard Deviation = 8

The true Standard Deviation = 3.16

Error = |True value - Measured value|

Error = |3.16 - 8|

Error = 4.84

Learn more here: brainly.com/question/18562832

3 0
2 years ago
Read 2 more answers
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