Verify whether $2$ and $0$ are zeroes of the polynomial $x^{2}-2x$.
(A) Let $p(x) = x^{2} - 2x$.
To verify if $2$ is a zero,we calculate $p(2)$:
$p(2) = (2)^{2} - 2(2) = 4 - 4 = 0$.
Since $p(2) = 0$,$2$ is a zero of the polynomial.
To verify if $0$ is a zero,we calculate $p(0)$:
$p(0) = (0)^{2} - 2(0) = 0 - 0 = 0$.
Since $p(0) = 0$,$0$ is a zero of the polynomial.
Hence,both $2$ and $0$ are zeroes of the polynomial $x^{2} - 2x$.
To verify if $2$ is a zero,we calculate $p(2)$:
$p(2) = (2)^{2} - 2(2) = 4 - 4 = 0$.
Since $p(2) = 0$,$2$ is a zero of the polynomial.
To verify if $0$ is a zero,we calculate $p(0)$:
$p(0) = (0)^{2} - 2(0) = 0 - 0 = 0$.
Since $p(0) = 0$,$0$ is a zero of the polynomial.
Hence,both $2$ and $0$ are zeroes of the polynomial $x^{2} - 2x$.
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