If 2 – 3x -2x² is divided by (x + 2) , the equation is
Answers
Answer:
In equation x
3
+3x
2
+3x+1
(i) If x+1=0, then x=−1
So put the value of x=−1 in equation x
3
+3x
2
+3x+1 we get
(−1)
3
+3(−1)
2
+3(−1)+1=−1+3−3+1=0
Remainder is 0.
(ii) If x−
2
1
=0, then x=
2
1
So, put x=
2
1
in equation, we get
(
2
1
)
3
+3(
2
1
)
2
+3(
2
1
)+1=
8
1
+
4
3
+
2
3
+1=
8
20
=
2
5
(iii) If x+0=0 then x=0
So put the value of x=0 in equation x
3
+3x
2
+3x+1 we get
(0)
3
+3(0)
2
+3(0)+1=0+0+0+1=1
Remainder is 1.
(iv) If x+π=0, then x=−π
So put the value of x=−π in equation x
3
+3x
2
+3x+1 we get
(−π)
3
+3(−π)
2
+3(−π)+1=−π
3
+3π
2
−3π+1
(v) If 5+2x=0, then x=−
5
2
So put the value of x=−
5
2
in equation x
3
+3x
2
+3x+1, we get
(
5
−2
)
3
+3(
5
−2
)
2
+3(
5
−2
)+1
=−
125
8
+
25
12
−
5
6
+1=
125
−8+60−150+125
=
125
27
Step-by-step explanation:
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