Question

For what value of k will 3 be a zero of polynomial 2x^2+x+k

Answer 1

the value of k is -21

Answer 2

$Given \: polynomial \: p(x) = 2x^{2}+x+k$

$and \: 3 \:is\: a\: zero \:of \:p(x)$

$If \: 3 \:is \:zero \: of \: p(x) \: then \: p(3) = 0$

$\implies 2\times 3^{2} + 3 + k = 0$

$\implies 18 + 3 + k = 0$

$\implies 21 + k = 0$

$\implies k = -21$

Therefore.,

$\red { Value \:of \: k } \green {= -21 }$

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