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2021 Malaysia IMONST 1
14
p(3)=? in 5 degree polynomial with coeff. +-1 2021 Malaysia IMONST 1 Senior P14
p(3)=? in 5 degree polynomial with coeff. +-1 2021 Malaysia IMONST 1 Senior P14
Source:
September 21, 2021
algebra
polynomial
Problem Statement
Given a function
p
(
x
)
=
a
x
5
+
b
x
4
+
c
x
3
+
d
x
2
+
e
x
+
f
p(x) = ax^5 + bx^4 + cx^3 + dx^2 + ex + f
p
(
x
)
=
a
x
5
+
b
x
4
+
c
x
3
+
d
x
2
+
e
x
+
f
. Each coefficient
a
,
b
,
c
,
d
,
e
a, b, c, d, e
a
,
b
,
c
,
d
,
e
, and
f
f
f
is equal to either
1
1
1
or
ā
1
-1
ā
1
. If
p
(
2
)
=
11
p(2) = 11
p
(
2
)
=
11
, what is the value of
p
(
3
)
p(3)
p
(
3
)
?
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