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psila Group Title

find a cubic function with the given zeros square root of 6, negative square root of 6, -3

  • 9 months ago
  • 9 months ago

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  1. hartnn Group Title
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    if x= a is a zero, then \((x-a)\) is the factor of f(x). similarly, if \(x= \sqrt 6\) is a zero, \((x-\sqrt 6)\) would be the factor of f(x) did u get this? now can you tell me other 2 factors of f(x) ?

    • 9 months ago
  2. radar Group Title
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    Here is another factor (it is given in the problem) Using the info furnished by hartnn. \[x+\sqrt{6}\]

    • 9 months ago
  3. radar Group Title
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    Can you see what the third one (factor) would be?

    • 9 months ago
  4. radar Group Title
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    It is (x+3) That is the three factors which produce those three given zeroes. Now the problem is asking for the function, all you have to do is to multiply those three factors and voila you will have the cubic function. \[f(x)=(x-\sqrt{6})(x+\sqrt{6})(x+3)\]

    • 9 months ago
  5. radar Group Title
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    The first two factors when multiplied be comes the familiar "difference of squares) or \[(x ^{2}-6)\]Now multiply that by x+3 and you will have the answer.

    • 9 months ago
  6. radar Group Title
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    What did you get?

    • 9 months ago
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