2)Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients vi)3x^2-x-4
Solution:
Polynomial:
3x² − x − 4
Using quadratic formula:
x = [1 ± √(1 + 48)] / 6
x = [1 ± 7] / 6
Zeroes:
x = 4/3 and x = −1
Verification:
Sum = 1/3 = −b/a
Product = −4/3 = c/a
Verified.