Question 3 - Algebra of Polynomials Practice | Prasnya
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Week 4
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Algebra of Polynomials - Algebra of Polynomials
Question 3
00:00
Est. 5 min
Marks:
+5.00
0.00
Consider the polynomial function
p
(
x
)
=
−
(
x
2
−
16
)
(
x
−
3
)
2
(
2
−
x
)
2
(
x
+
9
)
p(x)=-(x^2-16)(x-3)^2(2-x)^2(x+9)
. Choose the set correct options.
Multiple correct
Hard Difficulty
15 March 2026
A
p
(
x
)
p(x)
is strictly decreasing for
x
∈
(
4
,
∞
)
x\in(4,\infty)
.
B
The total number of turning points is
6
6
.
C
p
(
x
)
p(x)
is strictly increasing for
x
∈
(
−
∞
,
9
)
x\in(-\infty,9)
.
D
There are exactly
7
7
points where the slope is
0
0
.
