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anonymous
 3 years ago
find a cubic function with the given zeros
square root of 6, negative square root of 6, 3
anonymous
 3 years ago
find a cubic function with the given zeros square root of 6, negative square root of 6, 3

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hartnn
 3 years ago
Best ResponseYou've already chosen the best response.1if x= a is a zero, then \((xa)\) 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) ?

radar
 3 years ago
Best ResponseYou've already chosen the best response.0Here is another factor (it is given in the problem) Using the info furnished by hartnn. \[x+\sqrt{6}\]

radar
 3 years ago
Best ResponseYou've already chosen the best response.0Can you see what the third one (factor) would be?

radar
 3 years ago
Best ResponseYou've already chosen the best response.0It 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. \[f(x)=(x\sqrt{6})(x+\sqrt{6})(x+3)\]

radar
 3 years ago
Best ResponseYou've already chosen the best response.0The 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.
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