2)Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients
iii) 6x^2−7x−3
Solution:
Polynomial:
6x² − 7x − 3
a = 6, b = −7, c = −3
Using quadratic formula:
x = [7 ± √(49 + 72)] / 12
x = [7 ± 11] / 12
Zeroes:
x = 3/2 and x = −1/3
Verification:
Sum = 7/6 = −b/a
Product = −1/2 = c/a
Verified.