Question

If a,b,c are the zeroes of the polynomial x^3-2x^2+kx-m=0 and if a+b=0 show that 2k=m

Answer 1

Answer:

ANSWER

For a quadratic polynomial ax

2

+bx+c,

the sum of the zeros =

a

−b

and product of the zeros =

a

c

Here, given polynomial is 3x

2

−2kx+2m and zeros are 2 and 3

Thus,

2+3=

3

−(−2k)

=>5=

3

2k

=>2k=15

=>k=

2

15

and 2×3=

3

2m

=>6×3=2m

=>m=9

Thus, k=

2

15

and m=9