Question

Find the quadratic polynomial, sum of whose zeros is 0 and their product is (–1). Hence, find the zeros of the polynomial.

Answer 1

Answer: x^2 -1

Zeroes are 1, -1

Step-by-step explanation:

Formula , S= sum of zeroes, P= product of zeroes, then

x^2 - Sx +P,

S= 0, P= -1

x^2 -0 x +(-1)

= x^2 -1

Now, Factorise

x^2-1= (x+1) (x-1)=0

So, x=1, x= -1