check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial
x^3 - 3x + 1 , x^3 - 4x^3 + x^2 + 3x +1
plz help it , I really need it!
Answers
Answered by
1
Answer:
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 remainder is non-zero.
Therfore,x
3
−3x+1 is not a factor of x
5
−4x
3
+x
2
+3x+1
Answered by
0
(i) t
2
−3,2t
4
+3t
3
−2t
2
−9t−12
Remainder is 0, hence t
2
−3 is a factor of 2t
4
+3t
3
−2t
2
−9t−12
(ii) x
2
+3x+1,3x
4
+5x
3
−7x
2
+2x+2
Remainder is 0, hence x
2
+3x+1 is a factor of 3x
4
+5x
3
−7x
2
+2x+2
(iii) x
3
−3x+1,x
5
−4x
3
+x
2
+3x+1
Remainder is 2, hence x
3
−3x+1 is not a factor of x
5
−4x
3
+x
2
+3x+
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