Question

please tell the answer to this question​

Answer 1

Answer:

1. a=1 b= -2 c= -8

sum of zeroes =-b/a =-(-2) /1=2

product of zeroes =c/a=-8/1= -8

verification:

let x²-2x-8=0

x²-4x+2x-8=0

x(x-4) +2(x-4) =0

(x-4) (x+2)=0

(x-4) =0 or (x+2)=0

x=4 or x=-2

sum of zeroes=4+(-2) =2

product of zeroes = 4×-2 =-8

like that you have to do that for all sums in 1st question

2. as per given alpha + beta =1/4 and alpha beta =-1

the polynomial

k(x²-x(alpha + beta) +(alpha beta))

k(x²-x(1/4)+(-1))

k(x²-x-1/4)

k(4x²-x-4/4)

if k=4 implis

the polynomial 4x²-x-4