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Problems
Contests
National and Regional Contests
USA Contests
MAA AMC
AMC 12/AHSME
1987 AMC 12/AHSME
1
Foil
Foil
Source:
October 21, 2005
algebra
polynomial
Problem Statement
(
1
+
x
2
)
(
1
−
x
3
)
(1+x^2)(1-x^3)
(
1
+
x
2
)
(
1
−
x
3
)
equals
(A)
1
−
x
5
(B)
1
−
x
6
(C)
1
+
x
2
−
x
3
(D)
1
+
x
2
−
x
3
−
x
5
(E)
1
+
x
2
−
x
3
−
x
6
\text{(A)}\ 1 - x^5\qquad\text{(B)}\ 1 - x^6\qquad\text{(C)}\ 1+ x^2 -x^3\qquad \\ \text{(D)}\ 1+x^2-x^3-x^5\qquad \text{(E)}\ 1+x^2-x^3-x^6
(A)
1
−
x
5
(B)
1
−
x
6
(C)
1
+
x
2
−
x
3
(D)
1
+
x
2
−
x
3
−
x
5
(E)
1
+
x
2
−
x
3
−
x
6
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