t²+2t-63 find the zeros of the following quadratic polynomial and verify the relationship between the zeros and the coefficient
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t²+2t-63
By factorisation method,
t² + 9t - 7t - 63 = 0
t(t+9) -7(t+9) = 0
(t-7)(t+9) = 0
t = 7,-9
Zeros of the following quadratic polynomial is 7,-9.
The relationship between the zeros and the coefficient is :-
Sum of Zeros = -b/a
=> 7+(-9) = -2/1
=> -2 = -2
Product of Zeros = c/a
=> 7(-9) = -63/1
=> -63 = -63
Hence, verified.
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