End behavior Previous Year Questions | Prasnya
Prasnya
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Exam
Qualifier / Quiz 1
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Mathematics 1
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Week 4
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Algebra of Polynomials - Algebra of Polynomials
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End behavior
All questions
Q1
Consider the polynomial
p
(
x
)
=
a
n
x
n
+
⋯
+
a
1
x
+
a
0
p(x)=a_nx^n+\cdots+a_1x+a_0
, where
a
i
∈
R
a_i \in \mathbb{R}
and
a
n
≠
0
a_n \ne 0
. Suppose
x
0
∈
R
x_0 \in \mathbb{R}
is the smallest root of
p
p
. From the options below, choose the conditions that ensure that
p
(
x
)
p(x)
is strictly decreasing in
(
−
∞
,
x
0
)
(-\infty,x_0)
.
Multiple correct
MARCH 15, 2026
MARCH 15, 2026
