Graphing Polynomials and Polynomial Creation Questions | Prasnya
Prasnya
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Week 4
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Graphing Polynomials and Polynomial Creation - Graphing Polynomials and...
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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 the polynomials
p
(
x
)
=
(
2
x
−
1
)
(
x
−
5
)
q
(
x
)
p(x)=(2x-1)(x-5)q(x)
where the zeros of
p
(
x
)
p(x)
with multiplicity
1
1
are
1
/
2
,
5
,
2
,
3
/
5
1/2,5,2,3/5
. Which of the following option(s) are true for
q
(
x
)
q(x)
?
Multiple correct
JULY 07, 2024
JULY 07, 2024
Q3
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
Q4
In total, how many mock tests did Ritwik pass? NOTE: Enter your answer to the nearest integer.
Comprehension
OCTOBER 16, 2022
OCTOBER 16, 2022
Q5
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
