Question

find the zeroes of each of the following polynomial and verify the relationship between the zeroes and their coefficient. a)2x² + 7x + 3 . ​

Answer 1

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