P(x)=3x³+2x²-4x+5
1.P(-1)
Answers
Answered by
1
Answer:
Given that:
P(x)=x
4
−3x
3
+2x
2
+x−1
WE know that if P(x) be a polynomial then there exist two polynomial Q(x)&R(x)such that:
P(x)=(x−2)Q(x)+R(x).(1)
Now
Rearrange given polynomial as:
x
4
−3x
3
+2x
2
+x−1=x
4
−2x
3
−x
3
+2x
2
+x−2+1
x
4
−3x
3
+2x
2
+x−1=x
3
(x−2)−x
2
(x−2)+1(x−2)+1
x
4
−3x
3
+2x
2
+x−1=(x
3
−x
2
+1)(x−2)+1
P(x)=(x
3
−x
2
+10)(x−2)+1. .(2)
Compering equation 1&2
R(x)=1
Remainderis1whenP(x)isdividedbyx−2
Answered by
4
Answer:
Divide (2x
4
+3x
3
+4x−2x
2
) by (x+3)
2x
3
−3x
2
+7x−17
_________________
x+3)2x
4
+3x
3
−2x
2
+4x
2x
4
+6x
3
______________
−3x
3
−2x
2
+4x
−3x
3
−9x
2
________________
7x
2
+4x
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