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If-a-1-b-2-c-3-z-26-then-t-a-t-b-t-c-t-y-t-z-




Question Number 181375 by Tawa11 last updated on 24/Nov/22
If  a = 1, b = 2, c = 3, ... z  =  26  then    (t − a)(t − b)(t − c) ... (t − y)(t − z) =   ??
$$\mathrm{If}\:\:\mathrm{a}\:=\:\mathrm{1},\:\mathrm{b}\:=\:\mathrm{2},\:\mathrm{c}\:=\:\mathrm{3},\:…\:\mathrm{z}\:\:=\:\:\mathrm{26} \\ $$$$\mathrm{then}\:\:\:\:\left(\mathrm{t}\:−\:\mathrm{a}\right)\left(\mathrm{t}\:−\:\mathrm{b}\right)\left(\mathrm{t}\:−\:\mathrm{c}\right)\:…\:\left(\mathrm{t}\:−\:\mathrm{y}\right)\left(\mathrm{t}\:−\:\mathrm{z}\right)\:=\:\:\:?? \\ $$
Commented by mr W last updated on 24/Nov/22
 ...  is (t−d)...(t−s)(t−t)(t−u)...(t−x)
$$\:…\:\:{is}\:\left({t}−{d}\right)…\left({t}−{s}\right)\left({t}−{t}\right)\left({t}−{u}\right)…\left({t}−{x}\right) \\ $$
Commented by Tawa11 last updated on 24/Nov/22
Please what is the priciple behind it sir.
$$\mathrm{Please}\:\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{priciple}\:\mathrm{behind}\:\mathrm{it}\:\mathrm{sir}. \\ $$
Answered by Agnibhoo98 last updated on 24/Nov/22
0
$$\mathrm{0} \\ $$
Commented by Tawa11 last updated on 24/Nov/22
How can I know it is zero sir.
$$\mathrm{How}\:\mathrm{can}\:\mathrm{I}\:\mathrm{know}\:\mathrm{it}\:\mathrm{is}\:\mathrm{zero}\:\mathrm{sir}. \\ $$
Commented by JDamian last updated on 24/Nov/22
read what Mr. W has written: (t-t)=0
Commented by Tawa11 last updated on 24/Nov/22
I understand now sir, God bless you sirs.
$$\mathrm{I}\:\mathrm{understand}\:\mathrm{now}\:\mathrm{sir},\:\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sirs}. \\ $$

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