Question

Find the quadratic polynomial, sum of whose zeroes is 0 and their product is -1. Hence, find the

zeroes of the polynomial.​

Answer 1

Given:-

•Sum of Zeros(α+β)=0

•Product of Zeros(αβ)=-1

$\rule{200}{1}$

To Find:-

→The Polynomial, Also find the zeros of the polynomial?

$\rule{200}{1}$

AnsWer:-

♦Using Quadratic Formula♦

→k[x²-(α+β)x+αβ]

•Putting the Values•

→k[x²-(0)x+(-1)]

→k[x²-1]

★Let k=1★

→1[x²-1]

→x²-1 is the Polynomial.[p(x)]

$\rule{200}{1}$

•Let p(x)=0

→x²-1=0

→x²=1

→x=±√1

→x=+1 or -1

$\rule{200}{2}$