Question 5 - Graphing Polynomials and Polynomial Creation Practice | Prasnya
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Graphing Polynomials and Polynomial Creation - Graphing Polynomials and...
Question 5
00:00
Est. 3 min
Marks:
+4.00
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The polynomial
p
(
x
)
=
a
n
x
n
+
a
n
−
1
x
n
−
1
+
⋯
+
a
0
p(x)=a_nx^n+a_{n-1}x^{n-1}+\cdots+a_0
has the following properties:
p
(
x
)
p(x)
is an even degree polynomial.
p
(
x
)
p(x)
has at least one positive real root and at least one negative real root.
(
x
+
4
)
2
(x+4)^2
is a factor of
p
(
x
)
p(x)
.
p
(
0
)
≠
0
p(0)\ne0
. From the options given, choose the possible representations of
p
(
x
)
p(x)
.
Multiple correct
Medium Difficulty
16 October 2022
A
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E
F