Math, asked by tavilefty666, 1 year ago

If sum and product of two zeroes of the polynomial x^3+x^2-3x-3 are 0 and 3 respectively, find all the zeroes of the polynomial.

Answers

Answered by rajniagrawal843

Answer:

This is the solution.

Hope it will help you!!!

Attachments:

rajniagrawal843: It is given that sum if two zeroes is 0 so we had let the three zeroes as α,β,¥.

rajniagrawal843: So as we know

rajniagrawal843: α+β+¥= -b/a = 0+¥= -1 = ¥= -1

rajniagrawal843: S o

rajniagrawal843: We get one zero which is -1 so we will put x= -1 or x+1=0 and now we will divide x+1 and p(x).then the quotient = x²-3 for finding next two zeroes we will solve it. x²-3=0=x²=3=x=±√3. and answer cames

Answered by Anonymous

let the zeroes be p,q,r

so as per given

p+q=0

so p=-q

and p×q=3

q×(-q)=3

q²=3

q=+-√3

also p=-q=-+√3

and p+q+r=-b/a

p+q+r=-1/1

p+q+r =-1

as p+q=0

so r=-1

so answer is √3,-√3,-1

hope I m right

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