EduSahara™ Assignment
Name : Remainder Theorem
Chapter : Polynomials
Grade : CBSE Grade IX
License : Non Commercial Use
Question
1
1.
The remainder when
(
−
5
v
)
is divided by
(
−
2
)
is
(i)
0
(ii)
(
−
2
)
(iii)
(
−
1
)
(iv)
1
(v)
2
Question
2
2.
The remainder when
(
−
8
u
2
)
is divided by
(
u
−
5
)
is
(i)
(
−
197
)
(ii)
(
−
200
)
(iii)
(
−
201
)
(iv)
(
−
199
)
(v)
(
−
202
)
Question
3
3.
The remainder when
(
8
q
−
6
)
is divided by
(
q
−
3
)
is
(i)
19
(ii)
21
(iii)
16
(iv)
17
(v)
18
Question
4
4.
The remainder when
(
−
9
g
2
+
2
g
)
is divided by
(
g
−
6
)
is
(i)
(
−
314
)
(ii)
(
−
311
)
(iii)
(
−
312
)
(iv)
(
−
313
)
(v)
(
−
310
)
Question
5
5.
The remainder when
(
−
5
y
2
+
5
y
+
4
)
is divided by
(
y
−
7
)
is
(i)
(
−
208
)
(ii)
(
−
205
)
(iii)
(
−
206
)
(iv)
(
−
203
)
(v)
(
−
207
)
Question
6
6.
The remainder when
(
9
z
4
−
5
z
3
−
5
z
2
−
7
z
+
3
)
is divided by
(
z
2
−
9
z
+
18
)
is
(i)
(
3278
z
−
9303
)
(ii)
(
3279
z
−
9303
)
(iii)
(
3276
z
−
9303
)
(iv)
(
3277
z
−
9303
)
(v)
(
3280
z
−
9303
)
Question
7
7.
If
1
and
-3
are the zeros of the polynomial
f
(
x
)
=
b
x
4
+
6
x
3
−
2
x
2
+
a
x
, find the value of
a
and
b
(i)
1
,
-7
(ii)
-6
,
3
(iii)
-6
,
2
(iv)
-5
,
2
(v)
3
,
-5
Question
8
8.
If the polynomials
a
x
2
+
6
x
+
30
and
2
x
2
+
a
x
−
30
leave the same remainder when divided by
(
x
+
3
)
,
find the value of
a
(i)
(-1)
(ii)
(-2)
(iii)
(-4)
(iv)
0
(v)
(-3)
Question
9
9.
Which of the following are true ?
a)
If the degree of p(x) is less then the degree of d(x), we should not divide p(x) with d(x)
b)
If p(a) = 0, then (x + a) perfectly divides p(x)
c)
If p(x) is divided by (x - a), the remainder is p(a)
d)
Division of a polynomial with another polynomial stops when the degree of the remainder equals the degree of the divisor
(i)
{d,c}
(ii)
{b,c,a}
(iii)
{a,c}
(iv)
{b,d,a}
(v)
{b,a}
Question
10
10.
Find the remainder when
(
2
x
2
−
15
x
−
8
)
is divided by
(
3
x
−
4
)
(i)
(
-172
7
)
(ii)
(
-268
11
)
(iii)
(
-220
9
)
(iv)
(
-218
9
)
(v)
(
-74
3
)
Assignment Key
1) (i)
2) (ii)
3) (v)
4) (iii)
5) (iii)
6) (i)
7) (iii)
8) (ii)
9) (iii)
10) (iii)
