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1
2010 Calculus #1: Subtract the Derivative
2010 Calculus #1: Subtract the Derivative
Source:
July 15, 2012
calculus
derivative
algebra
polynomial
Problem Statement
Suppose that
p
(
x
)
p(x)
p
(
x
)
is a polynomial and that
p
(
x
)
−
p
′
(
x
)
=
x
2
+
2
x
+
1
p(x)-p^\prime (x)=x^2+2x+1
p
(
x
)
−
p
′
(
x
)
=
x
2
+
2
x
+
1
. Compute
p
(
5
)
p(5)
p
(
5
)
.
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