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QveST [7]
3 years ago
11

P(x) = x^4 – 2x^3+ kx – 4 where k is an unknown integer.

Mathematics
2 answers:
mestny [16]3 years ago
7 0

Answer:

k = 4

Step-by-step explanation:

Given,

P(x)=x^{4} -2x^{3} +kx-4

when , P(x) is divided by (x - 1) , the remainder = 0

⇒ P(x) = (x-1)(x^{3} -x^{2} -x+4)

hence, k = 4

Olin [163]3 years ago
7 0

Answer:

k does not equal 4, it equals 5

Step-by-step explanation:

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What are the solutions to the equation?
iragen [17]
To factor the equation, first make sure the right hand side is equal to 0. Do this by subtracting 25 from both sides of the equation.
The equation becomes,
n^2-8n-9 = 0

Factoring the equation now gives you (n-9)(n+1) = 0.
In order to find the solutions to this equation, find values of 'n' that make the equation equal to 0. 

In this case, if n is 9 or -1, we get the answer 0.

Proof: (9-9)(n+1) => (0)(n+1) = 0
or (n-9)(-1+1) => (n-9)(0) = 0.

Hope this made sense! If it didn't, please ask questions!

3 0
4 years ago
Read 2 more answers
9) Let X-2, x, x+3 be the first 3 terms of a geometric sequence. FInd the value of x.. PLEASE HELP
adoni [48]
Hello,

Let's r the ration

We suppose x ≠0

x=r*(x-2)==>r=x/(x-2)

x+3=r*x==> (x+3)/x=x/(x-2)==>(x+3)(x-2)=x²
==>x²+3x-2x-6=x² ==>x-6=0==>x=6

x-2=6-4=4
x=6
x+3=6+3=9
6=4*3/2
9=6*3/2

Ration 3/2
First term: 4

7 0
3 years ago
Grace has to remember a total of 108 measures of
Lemur [1.5K]

9514 1404 393

Answer:

  52 measures

Step-by-step explanation:

Let s represent the length of the second song. Then the first song's length is 108 -s, and the difference in length is ...

  (108 -s) -(s) = 4

  108 -2s = 4 . . . .collect terms

  54 -s = 2 . . . . divide by 2

  52 = s . . . . . add s-2

Grace's second song is 52 measures long.

7 0
3 years ago
Is 2(x+5) factored?
aniked [119]
Yes, it is! The unfactored version of that expression would be 2x+10.
8 0
3 years ago
5. A man purchased a sewing machine for ₹1250 and spent ₹250 on its transportation. He sold it for ₹1600. Find his profit percen
Gnesinka [82]

Answer:

COST PRICE=1250+250=1500

SELLING PRICE=1600

GAIN=1600-1500=100

GAIN PERCENT=>

Step-by-step explanation:

I HOPE ITS HELP YOU

4 0
3 years ago
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