Question

if x=-2 is a zero of p(x)=x^2+√2x+k then find the value of k​

Answer 1

If x= -2 is a zero of p(x); then, p(-2) should be equal to 0. Hence,

$p( - 2) = 2 - 2 \sqrt{2} + k = 0 \\ = > - 2 \sqrt{2} + k = - 2 \\ = > k = - 2 - 2 \sqrt{2} \\ = > k = - 2(1 + \sqrt{2} )$

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Answer 2

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