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Pie
3 years ago
15

5. Which polynomial is equal to (x5 + 1) divided by (x + 1)?

Mathematics
1 answer:
Mkey [24]3 years ago
5 0

Answer:

B  x^4-x^3+x^2-x+1

Step-by-step explanation:

Given,

Dividend = (x^5+1)

Divisor = (x+1)

Step 1: First The dividend is (x^5+1) and Divisor is (x+1) when divided first time the quotient will be x^4 and remainder will be -x^4+1

Step: 2 Now the new dividend is -x^4+1 and Divisor is (x+1)  when divided the quotient will be x^4-x^3 and remainder will be x^3+1

Step: 3 Now the new dividend is x^3+1 and Divisor is (x+1)  when divided the quotient will be x^4-x^3+x^2 and remainder will be -x^2+1

Step: 4 Now the new dividend is -x^2+1 and Divisor is (x+1)  when divided the quotient will be x^4-x^3+x^2-x and remainder will be x+1

Step: 5 Now the new dividend is x+1 and Divisor is (x+1)  when divided the quotient will be x^4-x^3+x^2-x+1 and remainder will be 0.

Hence When the polynomial (x^5+1) is divided by  (x+1) the answer or quotient will be equal to  x^4-x^3+x^2-x+1 and remainder will be 0.

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3 years ago
A bag of skittles has 50 pieces of candy what percentage is orange ps. there are 11 orange skittles
Oliga [24]

Answer:

I think the answer is 22% but I am not sure

Step-by-step explanation:

Percentage solution with steps:

Step 1: We make the assumption that 50 is 100% since it is our output value.

Step 2: We next represent the value we seek with X

Step 3: From step 1, it follows that 100%=50

Step 4: In the same vein, x%=11.

Step 5: This gives us a pair of simple equations:

100%=50(1).

X%=11(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the left hand side of both equations have the same unit; we have

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X = 22%

Step 7: Taking the inverse (or reciprocal) of both sides yields

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3 years ago
Read 2 more answers
Which is the graph of f(x) = -(x + 3)(x + 1)?
Bas_tet [7]

Answer:

See attachment

Step-by-step explanation:

A function is given to us and we need to tell which graph represents the given function. The function given to us is,

\tt: \implies f(x) = -( x + 3 )( x + 1 )

Let's find out at which points do the graph Intersects x axis / finding the roots. For that substitute f(x) = 0 , we have ,

\tt: \implies  -(x +3)( x + 1 ) = 0

Equate each factor by 0 ,

\tt: \implies \boxed{\blue{ \tt x = -1,-3 }}

Therefore the graph will intersect x axis at x is equal to -1 and x is equal to -3 .

On looking at the given graphs in the options the second graph intersects x axis at -1 and -3 .

<u>Hence</u><u> </u><u>the </u><u>second</u><u> </u><u>option</u><u> </u><u>is </u><u>correct</u><u> </u><u>.</u><u> </u>

{ See attachment }

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3 years ago
Find each sum.<br> 6+(-6)
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The sum would be 0 :)
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1 year ago
The price of an item has risen to $276 today. Yesterday it was $115. Find the percentage increase.
Nezavi [6.7K]
Are you kidding me, bro? lol

276-115=131
131 divided by 276 = 0.47

0.47% increase
6 0
3 years ago
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