Question

the zeros of polynomial p(x)=ax²+bx+c are reciprocal of each other​

Answer 1

Answer:

ANSWER

Given quadratic polynomial is P(x)=ax

2

+bx+c

Given the roots are reciprocal to each other

Let the roots be α,

α

1

⟹ Product of roots is α×

α

1

=

a

c

⟹

a

c

=1⟹c=a