Question

Find the condition that zero of the polynomial p x = 2 x square + bx + c a reciprocal to each other

Answer 1

Answer:

Given quadratic polynomial is P(x)=ax 2 +bx+c

Given the roots are reciprocal to each other

Let the roots be α, 1/a

⟹ Product of roots is α× 1/α = c/a

c/a = 1

i.e, c=a

Step-by-step explanation:

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