(a) Let remainder be most,

mon a re
constants

x+ xP+1
odd
(x- 1)x(x) a
= - + mx +
n,dis
↓ is even,

Forx =
1,

|a + 1b + 1 (12-1)a(1)
=
+ m + m

3 = m + n -
0

Forx =
-1,

( -
1) + (-1"+ 1 = ( -
1) -

1)x( -

1) -
m +
n

1 = -
m + n
-
0

a 8: 4 2n
=

S
n 2
=

1
=

:xa + xP + 1
(x=-1)O(x)
=

+ x + 2
&even x odd

I
x1020 + x1035
1025
(b) ca1010 +x

=
1010
+ y1025 + 1 -

1
I x1020 + y1035 +1 -
1
x

by
↓ say

(x
=

1)(,(x) (x -1)Qc(x) 1
=
=
- + x + 2. -
1 I + x+ 2 -

to
Y

Fan(s)
+

owtavoroisthest
...... + 2x + 2

-
(9--1)(a.(9) 02(9)) + + 2(9) +2

QnC91]. 0
Remainder.
s0 [0,(9) 1
=