Question

find the zeros of the quadratic polynomial 5 x square - 4 - 8 x and verify the relationship between the zeros and coefficients of the polynomial​

Answer 1

HELLO FRIEND

$\large{ {(5x}^{2} - 8x - 4 }$

$\large{ {5x}^{2} -10x + 2x - 4 }$

$\large{5x(x - 2) + 2(x - 2)}$

$\large{(5x + 2)(x - 2)}$

$\large{x = \frac{ \large{ - 2}}{ \large{ \: \: \: 5}} }$

$\large{x = 2}$

product of zeroes =

$\large{= \frac{ \large{ - 2}}{ \large{ \: \: \: 5}} \times 2}$

$\large{ = \frac{ \large{c}}{ \large{a}} }$

SUM OF ZEROES =

$\large{\frac{ \large{ - 2}}{ \large{5}} + 2 }$

$\large{ = \frac{ \large{8}}{5} }$

$\large{ = \frac{ \large{ - b}}{ \large{ \: \: \: a}} }$

HOPE IT HELPS YOU DEAR FRIEND THANKS