Test: Factors I - Challenging

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Question 1:   Factorise: 7 x 3 -8 x 2 +5x=...
x( 7 x 2 -8x+5 )
x 7 ( x- 5 7 )( x- 3 5 )
x( 7 x 2 -x+5 )
x( x 2 -8x+5 )
Question 2:   Factorise: x 3 -8 x 2 +19x-12=...
( x-1 )( x-3 )( x-4 )
( x-1 )( x-2 )( x-4 )
( x-1 )( x 2 -x+12 )
( x-1 )( x 2 -7x+12 )
Question 3:   Factorise: ( x 2 +x+3 )( x 2 +x+4 )-12
x( x+1 )( x 2 +x+7 )
( x 2 +x )( x 2 +x+7 )
x( x+1 )( x+7 )( x-1 )
x( x+1 )( x 2 +x+6 )
Question 4:   Factorise: ( 2x-1 ) 4 - ( x+1 ) 4 =...
( 3 x 2 -6x )( 5 x 2 -2x+2 )
( ( 2x-1 ) 2 - ( x+1 ) 2 )×( ( 2x-1 ) 2 + ( x+1 ) 2 )
3x( x-2 )( 5 x 2 -2x+2 )
( ( 2x-1 ) 2 - ( x+1 ) 2 )×( ( 2x-1 ) 2 + ( x+1 ) 2 )
Question 5:   Factorise: x 3 -7 x 2 +15x-9=... .
( x-1 ) 2 ( x-3 )
( x-1 ) ( x-3 ) 2
( x-1 )( x-2 )( x-3 )
( x-1 )( x 2 -6x+9 )
Question 6:   Factorise: 16 x 4 -8 x 2 +1=...
( 4 x 2 -1 ) 2
( 2x-1 ) 2 ( 2x+1 ) 2
( x-1 ) 2 ( 2x+1 ) 2
( x-1 ) 2 ( x+1 ) 2
Question 7:   Factorise: 3 x 2 y+2 y 2 +3 x 3 +2xy=...
3 x 2 ( y+x )+2y( y+x )
( x+y )( 3 x 2 +y )
( x+y )( 3x+2y )
( x+y )( 3 x 2 +2y )
Question 8:   Factorise: 2 x 2 -7x-3=...
( x-3 )( x- 1 2 )
2( x-3 )( x- 1 2 )
2( x-1 )( x- 1 2 )
( x-3 )( x-1 ))
Question 9:   Reduce: 9 x 2 -6x+1 3x-1 =...
1 3x-1
x
1
3x-1
Question 10:   Reduce: x 3 -2 x 2 +2x x-2 =...
1
2x( x-1 )
1 x-2
x( x 2 -2x+2 ) x-1