Question 3:
Obtain all other zeroes of 3x4 + 6x3 – 2x2 – 10x – 5, if two of its zeroes are 
Answer:
p(x) = 3x4 + 6x3 – 2x2 – 10x – 5
Since the two zeroes are 
is a factor of 3x4 + 6x3 – 2x2 – 10x – 5.
Therefore, we divide the given polynomial by 
We factorize x2 + 2x + 1
= (x + 1)2
Therefore, its zero is given by x + 1 = 0
x = −1
As it has the term (x + 1)2, therefore, there will be 2 zeroes at x = −1.
Hence, the zeroes of the given polynomial are 
, −1 and −1.
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