Question

Find a quadratic polynomial,the sum and the product of whose zeores are -3 and 2, respectively.

Answer 1

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

$\bold{The \ required \ quadratic \ polynomial \ is }$

$\bold{x^{2}-3x+2.}$

$\bold\orange{Given:}$

$\bold{=>Sum \ of \ zeroes=-3}$

$\bold{=>Product \ of \ zeroes=2}$

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

$\bold{To \ form \ a \ quadratic \ polynomial \ with}$

$\bold{sum \ of \ zeroes \ -3 \ and \ product \ of }$

$\bold{roots \ 2.}$

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

$\bold{Quadratic \ is}$

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

$\bold{=>x^{2}-3x+2}$

$\bold\purple{\tt{\therefore{The \ required \ quadratic \ polynomial \ is }}}$

$\bold\purple{x^{2}-3x+2.}$