Test: Algebraic expressions II - Challenging

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Question 1:   Divide x 3 -3 x 2 +4x-2 by x-1
x 2 -2x+2
x 2 -x+2
x 2 -x
x 2 +2x+2
Question 2:   Factorise: x 3 -11 x 2 +38x-40
( x-2 )( x 2 -9x+20 )
( x-2 )( x-3 )( x-5 )
( x-2 ) ( x-5 ) 2
( x-2 )( x-4 )( x-5 )
Question 3:   Simplify 1- m 1+ 1 1- 1 m and find value when m=3
1 5
0
- 1 5
1
Question 4:   Simplify expression and find its domain: x 2 -4x+4 - x 2
-2x+2
-2
2
{ 2,x( -;0 ) -2x+2,x[ 0;2 ) -2,x[ 2;+ )
Question 5:   Divide x 3 -11 x 2 +33x-20 by x 2 -7x+5
x 2 -2x+5
x-5
x-4
x-3
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