(x-a)(x-b)(x-c) ......... (x-z). If x, a,b ,c.....z are all distinct, consecutive integers, what is the value of this entire multiplication?

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A x^26
B 26!
C 0
D Cannot be determined

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Answer: C. 0

Deep inside that long, intimidating string of parentheses, there is a term where (x-x)=0 The entire sequence is ultimately being multiplied with 0 hence the answer is 0.

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(x-a)(x-b)(x-c) ......... (x-z). If x, a,b ,c.....z are all distinct, consecutive integers, what is the value of this entire multiplication?

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