Question

Sum and product of the zeroes polynomial x²-3 are?

Answer 1

$Compare \: given \: polynomial \: x^{2} - 3 \\with\: ax^{2} + bx + c , we \:get$

$a = 1 , b = 0 \: and \: c = -3$

$i) Sum \:of \:the \: zeroes = \frac{-b}{a} \\= \frac{- 0}{1 } \\= 0$

$ii ) Product \:of \:the \: zeroes = \frac{c}{a} \\= \frac{- 3}{1 } \\= -3$

Therefore.,

$\red{Sum \:of \:the \: zeroes\:of \:x^{2}-3} \green { = 0 }$

$\red{Product \:of \:the \: zeroes\:of \:x^{2}-3} \green { = -3 }$

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