How yo form a quadratic polynomial whose zeroes are3+  \sqrt{3} and3-  \sqrt{3}

Question

How yo form a quadratic polynomial whose zeroes are3+
 \sqrt{3}
and3-
 \sqrt{3}

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Adalynn 4 weeks 2021-09-21T22:24:56+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-09-21T22:26:23+00:00

    x_1=3+\sqrt3\\x_2=3-\sqrt3\\\\y=a(x-(3+\sqrt3))(x-(3-\sqrt3))\\y=a(x-3-\sqrt3)(x-3+\sqrt3)\\y=a((x-3)^2-3)\\y=a(x^2-6x+9-3)\\y=a(x^2-6x+6)

    It’s any polynomial of the form a(x^2-6x+6)

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