Question 2 - Algebra of Polynomials Practice | Prasnya
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Algebra of Polynomials - Algebra of Polynomials
Question 2
00:00
Est. 2 min
Marks:
+4.00
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
Easy Difficulty
15 March 2026
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
5
5
turning points.
D
q
(
x
)
q(x)
has at most
5
5
turning points.
