Question

Find the zeros of the polynomial and verify the relationship between the zeros and coefficients t square - 3

Answer 1

See the attachment....... hope its help u

Answer 2

hey mate here's ur answer

$given \: polynomial \: = \: t ^{2} - 3 \\ = t {}^{2} - ( \sqrt{3} )^{2} \\ = (t - \sqrt{3})(t + \sqrt{3} ) \\ \\ either \: t - \sqrt{3} = 0 \: or \: t + \sqrt{3} = 0 \\ = > t \: = \: \sqrt{3} \: or \: - \sqrt{3}$

we know that

sum of zeroes = √3 - √3 = 0 = -b/a

product of zeroes = √3 × - √3 = - 3 = c/a