Question

the quadratic polynomial whose zeroes are -3,4​

Answer 1

$\underline{\textsf{Given:}}$

$\textsf{Zeros are -3 and 4 }$

$\underline{\textsf{To find:}}$

$\textsf{The polynomial having zeros -3 and 4}$

$\underline{\textsf{Solution:}}$

$\textsf{Sum of the zeros}$

$\mathsf{=-3+4}$

$\mathsf{=1}$

$\textsf{Product of the zeros}$

$\mathsf{=-3{\times}4}$

$\mathsf{=-12}$

$\therefore\textsf{The required polynomial is}$

$\mathsf{x^2-(\textsf{Sum of the zeros})x+\textsf{Product of the zeros}}$

$\mathsf{x^2-(1)x+(-12)}$

$\boxed{\mathsf{x^2-x-12}}$