Find the quadratic polynomial whose zeros are (2,3) and( –2,–3)

1 thought on “Find the quadratic polynomial whose zeros are (2,3) and( –2,–3)”

1. Correct option is

   B

   x

   2

   −4x+1

   The zeros are 2+

   3

   and 2−

   3

   Let the quadratic polynomial be (x−r

   1

   )(x−r

   2

   ) where r

   1

   and r

   2

   are the zeros of the polynomial.

   Thus the polynomial is

   [x−(2+

   3

   )][x−(2−

   3

   )]

   =(x−2−

   3

   )(x−2+

   3

   )

   =(x

   2

   −2x+

   3

   x−2x+4−2

   3

   −

   3

   x+2

   3

   −3)

   =x

   2

   −4x+1

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