if x - root 5 is a factor of the cubic polynomial xcube -3 root 5x square +13x -3 root 5 then find all the zeroes of thee polynomial

### Asked by ajayrath7 | 21st Sep, 2019, 02:07: PM

### As x-root5 is a factor of the given cubic polynomial.
First do a long division till you get a remainder 0.
You will obtain a quadratic expression as quotient.
Find the roots of this expression.
Once you solve this, you will get the roots as
root 5,
root 5 + root 2 and
root 5 - root 2.

### Answered by | 21st Sep, 2019, 06:11: PM

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