Question

What is the condition that zeroes of polynomial p(x) = ax2

+bx+c are

reciprocal to each other.
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Answer 1

Answer:

Step-by-step explanation:

p(x) = ax² + bx + c

Given the roots are reciprocal to each other

Let the roots be α, 1/α

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⟹ Product of roots is α×  1/α = c/a

⟹  1= c/a

⟹ c = a [required condition]

Answer 2

Answer:

Step-by-step explanation:

we suppose $\alpha ,1/\alpha$ are root  then

by the product of root $\alpha (1/\alpha )=c/a$,$c=a$