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hodyreva [135]
4 years ago
14

What is the remainder when (x^3+1) is divided by (x^2-x+1)?

Mathematics
1 answer:
Nuetrik [128]4 years ago
6 0

Answer:

A; x + 1

Step-by-step explanation:

Since the viniculum in a fraction represents division, we can rewrite the expression like this:

\frac{x^3+1}{x^2-x+1}

We can already see that x^{3} + 1 could be factored:

Since anything with a "<em>one</em><em>" </em>as its base will remain one, we can rewrite:

x^3+1^3

Now, we can apply the "<em>sum of cubes</em>" formula:

\frac{\left(x+1\right)\left(x^2-x+1\right)}{x^2-x+1}

Cancelling out!

x+1

Thusly, you are correct and the remainder is \boxed{x+1{\text{\:or\:A}}}.

Hope this helps! ((:

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nlexa [21]

Answer:

Step-by-step explanation:

First, you need to simplify step-by-step:

6x−24x+13

=6x+−24x+13

Now, you combine like terms:

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=−18x+13

That's how you get your answer:

=−18x+13

4 0
4 years ago
The surface of a pool table has a perimeter of 26 feet and an area of 36 square feet. What are the dimensions of the pool table?
deff fn [24]

Answer:

Step-by-step explanation:

pool tables are rectanglar

Perimeter = 2L + 2W      =  2(L+W)   ---->>>    Perimeter/2  = L + W  =

         Perimeter/2 - W  =  L

        Area = L×W     

Two equations and two unknowns and  L is substituted into the area equation  

 ---->>  Area = (Perimeter/2 - W) x W

          Area = (Perimeter x W)/2  - W²              solve for W

Area = 36 and  Perimeter = 26

       36 ft² = (26)( W)/2 ft  - W² ft²

       36 ft² = 13W ft - W² ft²

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         (W - 4)(W - 9)  = 0            

There are two roots

        W - 4 = 0   and W - 9 = 0

        W = 4  and  9         W = 9  it doesn't make sense  needs to be < L

Perimeter/2 - W = L

         L = 26/2 - W

            = 13 - 4

         L = 9 ft  and   W = 4 ft

6 0
3 years ago
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kirill [66]
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3 0
3 years ago
Does anybody know how to make a pie chart out of this
garri49 [273]

Answer:

Step-by-step explanation:

since it is 100% and the pie chart circle is 360°, then for each % it will be 3.6°

applying this into drawing, just times 3.6° to the percentage and then get the final angle for the data.

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

if you don't need to be so concise, just see as you fit

3 0
4 years ago
Find the cosine of angle P.<br> A.20/29<br> B.21/29<br> C.20/21<br> D.21/20
Delvig [45]
20/29 is the cosine because it’s adjacent over hypotenuse
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3 years ago
Read 2 more answers
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