Answer: Its factored form will be
![6n(n-1)(n^2-3n-3)](https://tex.z-dn.net/?f=6n%28n-1%29%28n%5E2-3n-3%29)
Step-by-step explanation:
Since we have given that
![6n^4-24n^3+18n](https://tex.z-dn.net/?f=6n%5E4-24n%5E3%2B18n)
So, we need to factor ,
![6n(n^3-4n^2+3)](https://tex.z-dn.net/?f=6n%28n%5E3-4n%5E2%2B3%29)
Now,
![\text{Let }p(n)=n^3-4n^2+3](https://tex.z-dn.net/?f=%5Ctext%7BLet%20%7Dp%28n%29%3Dn%5E3-4n%5E2%2B3)
Now, by hit and trial method, we put n=1,
![p(1)=1^3-4\times1^2+3=1-4+3=1-1=0](https://tex.z-dn.net/?f=p%281%29%3D1%5E3-4%5Ctimes1%5E2%2B3%3D1-4%2B3%3D1-1%3D0)
![n=1\\n-1=0](https://tex.z-dn.net/?f=n%3D1%5C%5Cn-1%3D0)
So, n-1 is also factor of p(n).
Now,
![\frac{n^3-4n^2+3}{n-1}=n^2-3n-3](https://tex.z-dn.net/?f=%5Cfrac%7Bn%5E3-4n%5E2%2B3%7D%7Bn-1%7D%3Dn%5E2-3n-3)
So, its factored form will be
![6n(n-1)(n^2-3n-3)](https://tex.z-dn.net/?f=6n%28n-1%29%28n%5E2-3n-3%29)
Answer:
![\large\boxed{\boxed{\underline{\underline{\maltese{\pink{\pmb{\sf{\: Solution \hookrightarrow \: x > 5 }}}}}}}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%5Cboxed%7B%5Cunderline%7B%5Cunderline%7B%5Cmaltese%7B%5Cpink%7B%5Cpmb%7B%5Csf%7B%5C%3A%20Solution%20%5Chookrightarrow%20%5C%3A%20x%20%3E%205%20%7D%7D%7D%7D%7D%7D%7D%7D)
Step-by-step explanation:
![\tt{x + 4 > 9}\\\\\sf{Bring \: 4 \: to \: the \: right \: side \: of \: the \: equation}.\\\\\tt{x>9-4} \\\\\sf{Subtract \: 4 \: from \: 9 \: to \: get \: 5}\\\\\boxed{\sf{x > 5}} \dashrightarrow \mathfrak{Answer}](https://tex.z-dn.net/?f=%5Ctt%7Bx%20%2B%204%20%3E%209%7D%5C%5C%5C%5C%5Csf%7BBring%20%5C%3A%204%20%5C%3A%20to%20%5C%3A%20the%20%5C%3A%20right%20%5C%3A%20side%20%5C%3A%20of%20%5C%3A%20the%20%5C%3A%20equation%7D.%5C%5C%5C%5C%5Ctt%7Bx%3E9-4%7D%20%5C%5C%5C%5C%5Csf%7BSubtract%20%5C%3A%204%20%5C%3A%20from%20%5C%3A%209%20%5C%3A%20to%20%5C%3A%20get%20%5C%3A%205%7D%5C%5C%5C%5C%5Cboxed%7B%5Csf%7Bx%20%3E%205%7D%7D%20%5Cdashrightarrow%20%5Cmathfrak%7BAnswer%7D)
______________
![\sf{Hope \: it \: helps}\\\mathfrak{Lucazz}](https://tex.z-dn.net/?f=%5Csf%7BHope%20%5C%3A%20it%20%5C%3A%20helps%7D%5C%5C%5Cmathfrak%7BLucazz%7D)
Answer:
x = 4
Step-by-step explanation:
8x = 32
/8
x = 4
Answer:
b
Step-by-step explanation:
9x7.8x1/2x12
Answer:
No factors.
3 - x^2 is prime.
Step-by-step explanation: