Question

when x^9 -a^9 is divided by x-a then the remainder is​

Answer 1

Answer:

• If x⁹ - a⁹ is divided by x - a then the remainder is 0.

Step-by-step explanation:

Given,

• $p(x) = {x}^{9} - {a}^{9} \: \: divided \: \: by \: \: g(x) = x - a$

To Find,

• The Remainder.

Solution,

$\displaystyle:\implies g(x) = x - a \\ \\ \displaystyle:\implies 0 = x - a \\ \\ \displaystyle:\implies x = a$

Putting This value of x in p(x),

$\displaystyle:\implies p(x) = {x}^{9} - {a}^{9} \\ \\ \displaystyle:\implies p(a) = {a}^{9} - {a}^{9} \\ \\ \displaystyle:\implies p(a) = 0$

So,

• The Remainder = 0

Required Answer,

• If x⁹ - a⁹ is divided by x - a then the remainder is 0.