Question

Solve this question ......

Answer 1

Here is ur answer buddy

Quite lengthy huh.....

Answer 2

$answer \: refer \: to \: the \: attachment$

$\huge{explaination}$

It is given that if p(x) is divided by g(x) it leaves a remainder x + a .

We have to find the value of k and a.


◆ Let's divide the p(x) by g(x).


◆ We got p(x) is not completely divisible by g(x) , it leaves a remainder.


◆ We get the remainder as

$(2k - 9)x + (10 - 8k + {k}^{2} )$


◆ As, it is given that remainder comes out to be x + a.


◆ So,by comparing we get

k = 5 and a = -5.


$\boxed{answer \implies \: k = 5 \: and \: a = - 5}$