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Find a cubic function with the given zeros. Square root of six., - Square root of six., -3
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@Mehek14 @ganeshie8 @mayankdevnani
If \(\sqrt{6}\), \(\sqrt{6}\), \(3\) are the zeros of a cubic function, then \(a=\sqrt{6}\), \(b=\sqrt{6}\), \(c=3\) \[(x-a) ( x-b) ( x - c ) = 0\] \[(x-\sqrt{6}) ( x-\sqrt{6}) ( x - 3 ) = 0\]
Erm \(b=-\sqrt{6}\) sorry
It's \[\sqrt{6}, -\sqrt{6}, -3 \] not both positive
And the -3 as well
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Yeah
Lol yeah :)
Just use this and expand it and you'll get your cubic function.
uhm okayy
Let's see \[(x−\sqrt{6})(x+\sqrt{6})(x+3)=0 \\ \\ \]
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\[(x−\sqrt{6})(x+\sqrt{6})(x+3)=0 \\ \\ (x^2-6)(x+3)=0 \\ \\ x^3+3x^2-6x-18=0\]
Oh! I get it now! Thanks!!
Yw :)
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