Question

$if \: \alpha and \beta \: are \: the \: zeroes \: of \: the \: polynomial \: {x}^{2} + x + 1 \: then \: \frac{1}{ \alpha } + \frac{1}{ \beta }$
pls answer this question quickly:)​

Answer 1

Now polynomial having  α+2,β+2 as roots is

p(x)=x2−(α+2+β+2)x+(α+2)(β+2)

=x2−(α+β+4)x+αβ+2(α+β)+4

=x2−(2+4)x+3+2(2)+4

⇒x2−6x+11