CBSE Class 10 Answered
If two zeroes of the polynomial p(x) = x^4 - 6x^3 - 26x^2 + 138x - 35 are 2 + root 3 and 2 - root 3, find the other zeroes.
Asked by | 09 Sep, 2012, 08:51: PM
Expert Answer
given that (x - 2 - root 3) and (x - 2 + root 3) are factors. this means x^2 - 4x + 1 is a factor of p(x).
now divide p(x) by the above polynomial which is its factor.
thereafter, find the zeroes of the obtained quotient.
the zeroes of the quotient will be the remaining two zeroes of p(x).
Answered by | 09 Sep, 2012, 11:32: PM
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