EduSahara™ Assignment
Name : Remainder Theorem
Chapter : Polynomials
Grade : CBSE Grade IX
License : Non Commercial Use
Question
1
1.
The remainder when
(
−
5
s
)
is divided by
4
is
(i)
1
(ii)
(
−
3
)
(iii)
3
(iv)
0
(v)
(
−
1
)
Question
2
2.
The remainder when
9
b
2
is divided by
(
b
+
3
)
is
(i)
80
(ii)
84
(iii)
82
(iv)
81
(v)
79
Question
3
3.
The remainder when
(
7
k
+
5
)
is divided by
(
k
−
6
)
is
(i)
46
(ii)
48
(iii)
44
(iv)
47
(v)
49
Question
4
4.
The remainder when
(
−
6
w
2
−
2
w
)
is divided by
(
w
−
8
)
is
(i)
(
−
401
)
(ii)
(
−
399
)
(iii)
(
−
400
)
(iv)
(
−
402
)
(v)
(
−
397
)
Question
5
5.
The remainder when
(
−
3
j
2
−
8
j
+
8
)
is divided by
(
j
−
9
)
is
(i)
(
−
307
)
(ii)
(
−
305
)
(iii)
(
−
310
)
(iv)
(
−
306
)
(v)
(
−
308
)
Question
6
6.
The remainder when
(
9
i
4
−
2
i
3
−
4
i
2
+
i
+
1
)
is divided by
(
i
2
+
10
i
+
25
)
is
(i)
(
−
4612
i
−
17274
)
(ii)
(
−
4609
i
−
17274
)
(iii)
(
−
4608
i
−
17274
)
(iv)
(
−
4610
i
−
17274
)
(v)
(
−
4606
i
−
17274
)
Question
7
7.
If
5
and
(
-5
2
)
are the zeros of the polynomial
f
(
x
)
=
b
x
4
−
28
x
3
−
110
x
2
+
175
x
+
a
, find the value of
a
and
b
(i)
376
,
8
(ii)
7
,
374
(iii)
375
,
8
(iv)
9
,
376
(v)
375
,
9
Question
8
8.
If the polynomials
a
x
2
+
6
x
−
29
and
−
3
x
2
+
a
x
+
1
leave the same remainder when divided by
(
x
−
2
)
,
find the value of
a
(i)
3
(ii)
4
(iii)
1
(iv)
2
(v)
6
Question
9
9.
Which of the following are true ?
a)
If p(a) = 0, then (x + a) perfectly divides p(x)
b)
If p(x) is divided by (x - a), the remainder is p(a)
c)
If the degree of p(x) is less then the degree of d(x), we should not divide p(x) with d(x)
d)
Division of a polynomial with another polynomial stops when the degree of the remainder equals the degree of the divisor
(i)
{a,b}
(ii)
{b,c}
(iii)
{a,d,b}
(iv)
{a,c,b}
(v)
{d,c}
Question
10
10.
Find the remainder when
(
6
x
2
+
10
x
−
4
)
is divided by
(
3
x
+
3
)
(i)
-8
(ii)
-11
(iii)
-7
(iv)
-9
(v)
-5
Assignment Key
1) (iv)
2) (iv)
3) (iv)
4) (iii)
5) (i)
6) (ii)
7) (iii)
8) (i)
9) (ii)
10) (i)
