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]
