if
[tex] \alpha \: and \beta are \: the \: zeroes \: of \: the \: polynomial \: p(x) = x ^{2} – 2x + 3 \: find \: a \: quad

1 thought on “if <br />[tex] \alpha \: and \beta are \: the \: zeroes \: of \: the \: polynomial \: p(x) = x ^{2} – 2x + 3 \: find \: a \: quad”

1. Answer:

   f(x)=x2−2x+3 have zeroes α,β

   ⇒α+β=2

   ⇒α⋅β=3

   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

   Reply