Do you know your a,b,c's?

Number Theory Level 2

What is the solution to the following:

(x - a)(x-b)(x-c)(x-d) . . . . (x - z) ?

x 26 − z x^{26} - z x 26 a b c d . . . . y z \frac{x^{26}}{abcd....yz} x 26 + a − b + c . . . + y − z x^{26} +a - b + c...+ y -z 0 x 26 x^{26}

Easton Bornemeier by Easton Bornemeier , 24, USA

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2 solutions

Easton Bornemeier
Feb 19, 2015

Going further down the sequence, we can find that

(x - x) = 0

Therefore, everything is multiplied by 0, making the answer 0.

3 Helpful 0 Interesting 0 Brilliant 0 Confused
Dxes Prajapati
Mar 28, 2016

X-X=0 so whole step is zero

1 Helpful 0 Interesting 0 Brilliant 0 Confused

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