The 2016 binomial factors $$\((x-1)(x-2)(x-3) \ldots(x-2015)(x-2016)\)$$ are multiplied and the product is written as a polynomial $$\(P\)$$ in standard form. What is the sum of all of $$\(P\)$$ 's coefficients, including the constant term?
A.
2016 !
B.
1
C.
0
D.
-2016
Exam No:2016 First Round Grades 10-12 Year:2016 Question No:22
Answer:
C
Knowledge points:
G10-12 - Algebra - Polynomials (Remainder Theorem, Divisibility)
Solution:
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