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Question 3 - Week 4 Practice | Prasnya
Q3
00:00
15 Mar 2026
Q3.
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)
p
(
x
)
=
−
(
x
2
−
16
)
(
x
−
3
)
2
(
2
−
x
)
2
(
x
+
9
)
. Choose the set correct options.
A
p
(
x
)
p(x)
p
(
x
)
is strictly decreasing for
x
∈
(
4
,
∞
)
x\in(4,\infty)
x
∈
(
4
,
∞
)
.
B
The total number of turning points is
6
6
6
.
C
p
(
x
)
p(x)
p
(
x
)
is strictly increasing for
x
∈
(
−
∞
,
9
)
x\in(-\infty,9)
x
∈
(
−
∞
,
9
)
.
D
There are exactly
7
7
7
points where the slope is
0
0
0
.
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Check
Details
Q3
00:00
15 Mar 2026
Q3.
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)
p
(
x
)
=
−
(
x
2
−
16
)
(
x
−
3
)
2
(
2
−
x
)
2
(
x
+
9
)
. Choose the set correct options.
A
p
(
x
)
p(x)
p
(
x
)
is strictly decreasing for
x
∈
(
4
,
∞
)
x\in(4,\infty)
x
∈
(
4
,
∞
)
.
B
The total number of turning points is
6
6
6
.
C
p
(
x
)
p(x)
p
(
x
)
is strictly increasing for
x
∈
(
−
∞
,
9
)
x\in(-\infty,9)
x
∈
(
−
∞
,
9
)
.
D
There are exactly
7
7
7
points where the slope is
0
0
0
.
Save
Check
Details