Sketching a polynomial from its roots, multiplicities, and end behaviour Previous Year 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
Graphing Polynomials and Polynomial Creation - Graphing Polynomials and...
Go to subtopic
Sketching a polynomial...
All questions
Q1
Consider a polynomial
p
(
x
)
=
0.3
x
3
(
x
2
−
1
)
(
x
−
2
)
2
(
x
−
3
)
p(x)=0.3x^3(x^2-1)(x-2)^2(x-3)
and the following figures.Which figure represents the polynomial
p
(
x
)
p(x)
?
Single correct
OCTOBER 24, 2024
OCTOBER 24, 2024
Q2
Consider a polynomial
p
(
x
)
=
0.3
x
2
(
x
2
−
1
)
(
x
−
2
)
2
(
x
−
3
)
p(x)=0.3x^2(x^2-1)(x-2)^2(x-3)
. Which of the figure represents the polynomial
p
(
x
)
p(x)
?
Single correct
JULY 16, 2023
JULY 16, 2023
Q3
The polynomial
p
(
x
)
=
a
n
x
n
+
a
n
−
1
x
n
−
1
+
⋯
+
a
0
p(x)=a_nx^n+a_{n-1}x^{n-1}+\cdots+a_0
has the following properties:
p
(
x
)
p(x)
is an even degree polynomial.
p
(
x
)
p(x)
has at least one positive real root and at least one negative real root.
(
x
+
4
)
2
(x+4)^2
is a factor of
p
(
x
)
p(x)
.
p
(
0
)
≠
0
p(0)\ne0
. From the options given, choose the possible representations of
p
(
x
)
p(x)
.
Multiple correct
OCTOBER 16, 2022
OCTOBER 16, 2022
