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3 years ago

Factor the following polynomial completely.

Mathematics

1 answer:

Morgarella [4.7K]3 years ago

3 0

Hello, please consider the following.

$\begin{aligned}1280x^{11}-405x^7&=5x^7(256x^4-81)\\\\&= 5x^7(16^2(x^2)^2-9^2)\\\\&=5x^7(16x^2-9)(16x^2+9)\\\\&=5x^7((4x)^2-3^2)(16x^2+9)\\\\&\large \boxed{=5x^7(4x-3)(4x+3)(16x^2+9)}\end{aligned}$

So, the last one is the correct answer.

Thank you.

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If -7-4r=-15, what is the value of r/2 + 9

TEA [102]

Answer:

Step-by-step explanation:

Consider -7-4r=-15. Adding 7 on both sides of the equation,

-4r=-8 --- r = 2

Plug in value of r in r/2 + 9 = 2/2+9 = 1+9 = 10

6 0

2 years ago

Is being gay wrong? also why do spiders protect frogs?

Serggg [28]

Answer:

No.. i dont think its wrong.

Step-by-step explanation: Spiders protect frogs for protection.

3 0

3 years ago

let a,b,c,d be four integers (not necessarily distinct) in the set {1,2,3,4,5}. the no. of polynomials x^4+ax^3+bx^2+cx+d which

Eddi Din [679]

By either long or synthetic division, it's easy to show that

$\dfrac{x^4+ax^3+bx^2+cx+d}{x+1}=x^3+(a-1)x^2+(-a+b+1)x+(a-b+c-1)-\dfrac{a-b+c-d-1}{x+1}$

The quartic will be exactly divisible by $x+1$ when the numerator of the remainder term vanishes, or for those values of $a,b,c,d$ such that

$a-b+c-d-1=0$

I'm not sure how to count the number of solutions (software tells me it should be 80), but hopefully this is a helpful push in the right direction.

8 0

3 years ago

Marty has 2 4/5 quarts of juice. he pours the same amount of juice into 2 bottles. how much does he pour into each bottle?

Ad libitum [116K]

2.8!!!!!! ;pppppppp-

8 0

3 years ago

How many solutions are there to the equation below?

Elza [17]

Answer:

no solution

Step-by-step explanation:

heres why:

Let's solve your equation step-by-step.

4x−9(x+1)=20−5x

Step 1: Simplify both sides of the equation.

4x−9(x+1)=20−5x

4x+(−9)(x)+(−9)(1)=20+−5x(Distribute)

4x+−9x+−9=20+−5x

(4x+−9x)+(−9)=−5x+20(Combine Like Terms)

−5x+−9=−5x+20

−5x−9=−5x+20

Step 2: Add 5x to both sides.

−5x−9+5x=−5x+20+5x

−9=20

Step 3: Add 9 to both sides.

−9+9=20+9

0=29

so there are no solution

4 0

3 years ago