find the remainder when x ³ + 3 X ² + 3 X + 1 is divided by 2 X + 5
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1
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= 2−5p( 2−5)=(2−5 ) 3+3( 2−5 )
2 +3( 2−5)+1= 8−125+ 475 −215 +1 =
8−125+150− = 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
1
Answer:
The remainder of the given division is -27/8.
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