given that x- root of 5 is a factor of the cubic polynomial X3 - 3 root5 X2 + 13x - 3 root5 . find all the zeroes of the polynomial.

Asked by Arushi Vashist | 3rd Sep, 2010, 02:30: PM

Expert Answer:

If we divide the given polynomial by it's factor, then the dividend is, using synthetic division,
x2 - 2√5x + 3, which is quadratic, and whose roots are in turn,
x = √5 + √2 and √5 - √2.
Hence all the zeros of the given polynomial are,
√5 + √2, √5 - √2, √5.
regards,
Team,
TopperLearning.

Answered by  | 28th Sep, 2010, 03:54: PM

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