Obtain zero of f(x) = x4 - 3x3 - x2 + 9x - 6 if 2 of it's zero are - √3 and √3.

Asked by  | 19th Jul, 2012, 09:11: PM

Expert Answer:

Two zeroes of f(x) are -?3 and ?3.
So, (x - 3) is a factor of f(x).
Now, divide f(x) by x - 3 to get the quotient as x2 - 3x + 2, which has the factors (x - 2)(x - 1).

Hence all the zeros are -?3, ?3, 2 and 1.
 

Answered by  | 19th Jul, 2012, 09:37: PM

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