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

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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