Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial.
x+2 , 2x^2+3x+1
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1
Answer:
Let's use division method,
x
3
−3x+1)
x
5
−4x
3
+x
2
+3x+1
( x
2
−1
− x
5
+
−
3x
3
−
+
x
2
−x
3
+3x+1
+
−
x
3
−
+
3x
+
−
1
2
Since, the remainder is non-zero, therefore x
3
−3x+1 is not a factor of x
5
−4x
3
+x
2
+3x+1.
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