Question

The qaudratic polynomial the sum and product of its zeros are 0 and ✓5 is

Answer 1

$\bold\red{\underline{\underline{Answer:}}}$

$\bold{Required \ quadratic \ polynomial}$

$\bold{is \ x^{2}+\sqrt5.}$

$\bold\orange{Given:}$

$\bold{=>Sum \ of \ roots=0}$

$\bold{=>Product \ of \ roots=\sqrt5}$

$\bold\pink{To \ find:}$

$\bold{Quadratic \ polynomial \ with \ sum \ of}$

$\bold{roots \ 0 \ and \ product \ of \ roots \ \sqrt5.}$

$\bold\green{\underline{\underline{Solution}}}$

$\bold{Quadratic \ polynomial}$

$\bold{=>x^{2}-(Sum \ of \ roots)x+(Product \ of \ roots)}$

$\bold{=>x^{2}-0x+\sqrt5}$

$\bold{=>x^{2}+\sqrt5}$

$\bold\purple{\tt{\therefore{Required \ quadratic \ polynomial}}}$

$\bold\purple{\tt{is \ x^{2}+\sqrt5.}}$