This is an MCQ we were posed in school recently (I hope you don't mind elementary stuff):
What is $(x-a)(x-b)(x-c)...(x-z)$ ? Options:
$0$
$1$
$2$
$(x^n)-(abcdef...z)$
This is an MCQ we were posed in school recently (I hope you don't mind elementary stuff):
What is $(x-a)(x-b)(x-c)...(x-z)$ ? Options:
$0$
$1$
$2$
$(x^n)-(abcdef...z)$
There is a very basic trick to this problem. It all comes down to a single term (if that's the proper word for it...).
The only real hint I can give is $x$ is a letter between $a$ and $z$...
Hint $\ $ What is $\rm\ (24-1)(24-2)(24-3)\cdots (24-26)\ $ ?
And what is $\rm\,(x_{24}\!-x_1)(x_{24}\!-x_2)(x_{24}\!-x_3)\cdots (x_{24}\!-x_{26})\ $ ?