Polynomial Division and Algorithms Questions | Prasnya
Prasnya
Continue with Google
Practice path
Dashboard
Exam
Qualifier / Quiz 1
Go to subject
Mathematics 1
Go to chapter
Week 4
Go to topic
Polynomial Division and Algorithms - Polynomial Division and...
All questions
Subtopic wise
Q1
Consider two polynomials
p
(
x
)
=
x
4
+
3
x
3
−
9
x
+
8
p(x) = x^4 + 3x^3 - 9x + 8
and
q
(
x
)
=
(
x
2
+
x
)
(
x
+
3
)
q(x) = (x^2+x)(x+3)
. Let
r
(
x
)
r(x)
and
s
(
x
)
s(x)
be the remainder and the quotient, respectively, obtained when
p
(
x
)
p(x)
is divided by
q
(
x
)
q(x)
. Let
z
(
x
)
=
r
(
x
)
⋅
s
(
x
)
z(x) = r(x) \cdot s(x)
. Which of the following options is/are true?
Multiple correct
JULY 13, 2025
JULY 13, 2025
Q2
If
x
+
a
x + a
is one of the factors of
p
(
x
)
=
k
x
2
+
k
a
x
+
5
x
+
15
p(x) = kx^2 + kax + 5x + 15
, then find the value of
a
a
.
Integer answer
FEBRUARY 23, 2025
FEBRUARY 23, 2025
Q3
Consider two polynomials
p
(
x
)
=
x
4
+
3
x
3
−
9
x
+
8
p(x) = x^4 + 3x^3 - 9x + 8
and
q
(
x
)
=
(
x
2
+
x
)
(
x
+
3
)
q(x) = (x^2 + x)(x + 3)
. Let
r
(
x
)
r(x)
be the remainder obtained when
p
(
x
)
p(x)
is divided by
q
(
x
)
q(x)
. Let
l
(
x
)
l(x)
be the straight line passing through the
y
y
-intercept and the minimum point of
r
(
x
)
r(x)
. Which of the following options is/are true?
Multiple correct
FEBRUARY 23, 2025
FEBRUARY 23, 2025
Q4
Which of the following options is/are true?
Comprehension
FEBRUARY 23, 2025
FEBRUARY 23, 2025
