Question 4 - End behaviour — determined by degree and sign of leading coefficient Practice | Prasnya
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Graphs of Polynomials — Intercepts, Multiplicities, and End Behaviour - Graphs of Polynomials...
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End behaviour —...
Question 4
00:00
Est. 2 min
Marks:
+5.00
0.00
Consider two polynomials
p
(
x
)
=
−
x
5
+
5
x
4
−
7
x
−
2
p(x)=-x^5+5x^4-7x-2
and
q
(
x
)
=
−
x
5
+
5
x
4
−
x
2
−
2
q(x)=-x^5+5x^4-x^2-2
. Which of the following options is/are true?
Multiple correct
Medium Difficulty
23 February 2024
A
q
(
x
)
→
∞
q(x)\to\infty
as
x
→
∞
x\to\infty
.
B
p
(
x
)
→
−
∞
p(x)\to-\infty
as
x
→
∞
x\to\infty
.
C
p
(
x
)
p(x)
has at most
4
4
turning points.
D
The quotient obtained while dividing
q
(
x
)
q(x)
by
p
(
x
)
p(x)
is a constant.
