Question

Find the polynomial if its three zeroes are √5, -√5 and 1.

Answer 1

Answer:

Step-by-step explanation:

Alpha +. Beta + gama = -b/a

-b/a = √5

-b/√5 = a

K=-b/√5 ,K =a

-√5K = b , K=a

Alpha* beta *gama= c/a

c/a= -√5

C=-√5k (putting value of a)

Alpha*beta+ beta*gama+gama*alpha=-d/a

-d/a=1

d=-1k (putting value of a)

Cubic equation is

ax*3+bx*2+cx+d

Kx*3-√5kx*2-√5kx-1k. (Putting value of a,b,c,d)

K(x*3-√5x*2-√5x-1) (taking K comman)

Your equation is x*3-√5x*2-√5x-1