Find the zeroes of 2s2-9s-26 quadratic polynomial and verify relation between zeroes and coefficient
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Answer: The zeroes of the given quadratic polynomial are -2 and 13/2.
Step-by-step explanation:
2s² - 9s - 26
= 2s² + 4s - 13s -26
= 2s(s + 2) - 13(s + 2)
= (2s - 13)(s + 2)
s = 13/2 and s = -2
Verification :-
sum of zeroes : -b/a = 13/2 + (-2)
9/2 = (13-4) /2
9/2 = 9/2
product of zeroes : c/a = (13/2)(-2)
-26/2 = (-13)
-13 = -13
hence verified,
hope it helps you..
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