Question

find the quadratic polynomial whose zeros are -2 and -5 verify the relaitionship between zeros and coefficients of the polynomial​

Answer 1

Given:-

Sum of zeroes = -2

Product of zeroes = -5

We know that,

${x}^{2} +(sum \: of \: zeroes)x + product \: of \: zeroes \\ \\ \implies {x}^{2} - ( - 2)x + ( - 5) \\ \\ {\implies{x}^{2} + 2x - 5 }$

Therefore, the answer is

$\boxed{ {x}^{2} +2x - 5}$