Verify the relation between zeroes and coefficients of the Quadratic polynomial x² - 4
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✰ Qᴜēsᴛíõñ :-
Verify the relation between zeroes and coefficients of the Quadratic polynomial x² - 4
✪ Söʟúᴛîøɴ :-
p(x) = x² - 4
= (x + 2) (x - 2)
So zeroes are 2 and -2
Sum of zeroes = 2 + (-2) = 0
Product of zeroes = 2 (-2) = -4
p(x) = x² - 4
a = 1, b = 0, c = -4
Sum of zeroes = -b/a = -0/1 = 0
Product of zeroes = c/a = -4/1 = -4
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