Respuesta :

caylus
Hello,

using synthetic division,
[tex]x^5-10^5=(x-10)(x^4+10x^3+100x^2+1000x+10000). [/tex]

Answer:

Value of a is:

[tex]x^4+10x^3+100x^2+1000x+10000[/tex]

Step-by-step explanation:

we know that:

[tex]x^n-a^n=(x-a)(x^{n-1}+ax^{n-2}+a^2x^{n-3}+...+a^{n-2}x+a^{n-1})[/tex]

Here, a=10 and n=5

[tex]x^5-10^5=(x-10)(x^4+10x^3+100x^2+1000x+10000)[/tex]

[tex]x^5-10^5=(x-10)a[/tex]

⇒ [tex]a=x^4+10x^3+100x^2+1000x+10000[/tex]

Hence,Value of a is:

[tex]x^4+10x^3+100x^2+1000x+10000[/tex]