If a & ß are the zeros of f(x) = x² + px +q, then a polynomial having 1/a & 1/ß as its zeros is Question If a & ß are the zeros of f(x) = x² + px +q, then apolynomial having 1/a & 1/ß as its zeros is in progress 0 Math Peyton 1 month 2021-08-23T05:16:20+00:00 2021-08-23T05:16:20+00:00 1 Answer 0 views 0

## Answers ( )

Answer:If the polynomial f(x)=x

2

−px+q has the roots as α and β.

Then the equation having the roots as

α

1

and

β

1

is f(

x

1

).

⇒ f(

x

1

)=(

x

2

1

)−p(

x

1

)+q

⇒ f(

x

1

)=qx

2

−px+1.

Therefore the equation having

α

1

and

β

1

as roots is qx

2

−px+1.

Step-by-step explanation:plzzz Mark me as Brainlest