Verify whether the following are True or False:
$0$ and $2$ are the zeroes of $t^{2}-2t$.
$0$ and $2$ are the zeroes of $t^{2}-2t$.
(TRUE) zero of a polynomial $p(t)$ is a value $c$ such that $p(c) = 0$.
Let $p(t) = t^{2} - 2t$.
For $t = 0$:
$p(0) = (0)^{2} - 2(0) = 0 - 0 = 0$.
For $t = 2$:
$p(2) = (2)^{2} - 2(2) = 4 - 4 = 0$.
Since $p(0) = 0$ and $p(2) = 0$,the statement is True. Thus,$0$ and $2$ are the zeroes of the polynomial $t^{2} - 2t$.
Let $p(t) = t^{2} - 2t$.
For $t = 0$:
$p(0) = (0)^{2} - 2(0) = 0 - 0 = 0$.
For $t = 2$:
$p(2) = (2)^{2} - 2(2) = 4 - 4 = 0$.
Since $p(0) = 0$ and $p(2) = 0$,the statement is True. Thus,$0$ and $2$ are the zeroes of the polynomial $t^{2} - 2t$.
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