Question

If 2,3 are the zeroes of the polynomial 3x square minus 2k x plus 2m then find the value of k and m? ​

Answer 1

Answer:

Step-by-step explanation:

p(x) = 3x² - 2kx + 2m

p(2) = 3(2)² - 2k(2) + 2m = 12 - 4k + 2m  .........equation 1

p(3)  = 3(3)² - 2k(3) + 2m = 27 - 6k + 2m..........equation 2

(- 4k + 2m = -12) .........equation 1

(- 6k + 2m = -27) ..........equation 2

Eqn 1 - Eqn. 2, we get,

2k = 15

k = 15/2

Now, put k value in equation 1, we get,

- 4 x 15/2 + 2m = -12

-30 + 2m = -12

-30 + 30 + 2m = -12 +30

          2m = 18

           m = 9