Question

Verify whether 2 and 0 are zeroes of the polynomial x²-2x .​

Answer 1

Explanation:

hope this helped you. . . . . . . . . . .

Answer 2

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Solution:-

$let$

$p(x) = {x}^{2} - 2x$

$then$

$p(2) = {2}^{2} - 4 = 4 - 4 = 0$

$and$

$p(0) = 0 - 0 = 0$

hence,

$2 \: and \: 0 \: are \: both \: zeroes \: of \: the \: polynomial \: {x}^{2} - 2x$

$let \: us \: now \: list \: our \: obserbation -$

$(1) \: a \: \: zero \: of \: a \: polynomial \: .$

$(2) \: 0 \: may \: be \: a \: zero \: of \: a \: polynomial.$

$(3) \: every \: linear \: polynomial \: has \: one \: and \: only \: one \: zero.$

$(4) \: a \: polynomial \: can \: have \: more \: than \: one \: zero.$