Question

if one zero of the polynomial 3x^2 - 8x +2k +1 is seven times the other , find the value of k

Answer 1

Answer:

Value of 'k' is 2/3

Step-by-step explanation:

zeroes of the quadratic polynomial are a, b

a = 7b

p(x) = 3x²-8x+(2k+1)

sum of the zeroes,

a+b = 8/3

7b+b = 8/3

8b = 8/3

b = 1/3

product of the zeroes,

ab = (2k+1)/3

7b² = (2k+1)/3

7(1/9) = (2k+1)/3

7/9 = (2k+1)/3

6k+3 = 7

6k = 4

k = 2/3