find the zeroes of each of the following polynomial and verify the relationship between the zeroes and their coefficient. a)2x² + 7x + 3 .
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Step-by-step explanation:
2x² + 7x + 3 = 0
a = 2, b = 7 and c = 3
=> 2x² + 6x + x + 3 = 0
=> 2x (x + 3) + 1(x + 3) = 0
=> (x + 3)(2x + 1) = 0
=> x = -3 and x = -1/2
therefore zeros are -3 and -1/2
sum of zeros = -3 + (-1/2) => -7/2 => (-7)/(2) => -b/a
product of zeros = -3*(-1/2) => 3/2 => (3)/(2)=> c/a
hence verified
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