Question

If 2 and 3 are zeroes of the quadratic polynomial (3x)2 -2k x+2m=o find the values of k and m

Answer 1

Answer:

Substituting x = 2,

3*2² - 2k(2) + 2m = 0

12 - 4k + 2m = 0             (1)

Substituting x = 3,

3*3² - 2k(3) + 2m = 0

27 - 6k + 2m = 0            (2)

Solving equations (1) and (2),

2k = 15

k = 15/2

m = 9