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alex41 [277]
3 years ago
9

Is x^4-1 a factor of P(x)=x^5+5x^4-x-5

Mathematics
1 answer:
sasho [114]3 years ago
7 0

Answer:

  yes

Step-by-step explanation:

The other factor is (x+5), so the product is ...

  (x^4 -1)(x +5) = x^5 +5x^4 -x -5 = P(x)

(x^4 -1) is a factor of P(x).

_____

It is not a <em>primitive</em> factor, because it can be factored as ...

  x^4 -1 = (x^2 -1)(x^2 +1) = (x -1)(x +1)(x^2 +1)

The complete factorization of P(x) to real numbers is ...

  P(x) = (x -1)(x +1)(x +5)(x^2 +1)

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Divide (3x^3 + x2 – 4) by (x + 2).
OLga [1]

Answer:

(x+2)(3x^3-5x-10)

Step-by-step explanation:

If you don't know how to divide polynomials then I can help with that too or you can just search it up

6 0
2 years ago
What is the LCD of 5/12 and -9/16 ?
Andreyy89
The least common denominator of 5/12 and -9/16 

The answer is 48.

Now, we have to change the numerators also to make this a equal fraction to the first ones we had.

5*4 = 20
12*4 = 48

20/48

-9*3 = -27
16*3 = 48

-27/48


7 0
3 years ago
Read 2 more answers
Write the equation of a parabola with a vertex and (-5, 2) and a directrix y = -1
mrs_skeptik [129]

Answer:

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Step-by-step explanation:

Use the distance formula to plug in the values you know:

√(y+1)² =√(x+5)² +( y-2)²

the square roots cancel out

(y+1) ²= (x+5)² +(y-2)²

(y+1) (y-1)= (x+5)² + (y-2) (y-2)

y²+2y+1= (x+5)² + y² -4y+4

the y² cancel out

2y+ 4y = (x+5)² + 4-1

6y= (x+5)² +3

y= (x+5)² /6+ 1/3

4 0
3 years ago
Why did the Vietnam vets feel alienated when they came home from war
Marrrta [24]

Answer:

Because they were suffering form PTSD and questioning their identity.

6 0
3 years ago
How many rectangles can you make out of 18 cubes?
-Dominant- [34]
1*1*18
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4 0
3 years ago
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