Question

without drawing actual graph find the zeros of the polynomial x^2+x+1​

Answer 1

Step-by-step explanation:

x²+x+1

=x²+x(1/2+1/2)+1/2X1/2

=x²+1/2x+1/2x+1/4

=x(x+1/2)+1/2(x+1/2)

=(x+1/2)(x+1/2)

x+1/2=0

x=-1/2=alpa

x+1/2=0

x=-1/2=beta