find the factors of( X - 1) (X + 1) (x - 3)( X + 3) + 4 x^2
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Answer:
The zero of x+1 is −1
Let p(x)=x
4
+x
3
+x
2
+x+1
Then, p(−1)=(−1)
4
+(−1)
3
+(−1)
2
+(−1)+1
=1−1+1−1+1=1
Since, p(−1)
=0
Therefore, by Factor theorem, x+1 is not a factor of x
4
+x
3
+x
2
+x+1
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