find the remainder when 2x² - x +1 is divided by 2x + 1 (step wise)
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Answered by
15
Dividing 2x² - x +1 is divided by 2x + 1
2x+1)2x²-x+1(x-1 == Quotient
2x²+x
(-) (-)
_______
0 -2x+1
-2x -1
(+) (+)
______
02 = Remainder
Description:
1. Firstly, I multiplied the divisor 2x+1 with x inorder to eliminate x² term
2. Secondly, I multiplied divisor with -1 inorder to eliminate x term
Finally remainder is 2
2x+1)2x²-x+1(x-1 == Quotient
2x²+x
(-) (-)
_______
0 -2x+1
-2x -1
(+) (+)
______
02 = Remainder
Description:
1. Firstly, I multiplied the divisor 2x+1 with x inorder to eliminate x² term
2. Secondly, I multiplied divisor with -1 inorder to eliminate x term
Finally remainder is 2
Answered by
14
As we are dividing 2x²-x+1 by 2x+1
Using remainder theorem,
2x+1 =0
⇒x = -1/2
putting this value in the equation,
2x²-x+1
=2×(-1/2)² -(-1/2) +1
=2/4 +1/2 +1 = 2
So the remainder is 2
Using remainder theorem,
2x+1 =0
⇒x = -1/2
putting this value in the equation,
2x²-x+1
=2×(-1/2)² -(-1/2) +1
=2/4 +1/2 +1 = 2
So the remainder is 2
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