Find the remainder when x^3 + 3x^2 + 3x + 1 is divided by 5 + 2x
Answers
Answered by
0
Answer:
-27
Step-by-step explanation:
Dividing x
3
+3x
2
+3x+1 by 5+2x
So, x
3
+3x
2
+3x+1 is dividend and 5+2x is divisor.
Put, 5+2x=0
∴ x=
2
−5
Let p(x)=x
3
+3x
2
+3x+1
Putting x=
2
−5
p(
2
−5
)=(
2
−5
)
3
+3(
2
−5
)
2
+3(
2
−5
)+1
=
8
−125
+
4
75
−
2
15
+1
=
8
−125+150−60+8
=
8
−27
Thus, reminder of p(
2
−5
)=
8
−27
.
∴ We will get reminder as
8
−27
when x
3
+3x
2
+3x+1 is divided by 5+2x.
Answered by
0
Answer:
the answer is -27
hope you have
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