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(4) factorize :
(i) 12x^2-7x+1
=> 12x^2-3x-4x+1=0
=> 3x(4x-1)-1(4x-1)=0
=> (3x-1)(4x-1)=0
=> 3x-1=0 | 4x-1=0
=> 3x = 1 | 4x = 1
=> x=1/2 | x=1/2
(ii)2x^2+7x+3
=>2x^2+6x+1x+3=0
=>2x(x+3)+1(x+3)=0
=> (2x+1)(x+3)=0
=> 2x+1=0 | x+3=0
=> 2x=(-1) | x=(-3)
=> x= (-1/2) | x=(-3)
(iii) 6x^2+5x+6
=>6x^2+9x-4x+6=0
=>3x(2x+3)-2(2x+3)=0
=>(3x-2)(2x+3)=0
=>3x-2=0 | 2x+3=0
=> 3x=2 | 2x=(-3)
=> x=2/3 | x=(-3/2)
(iv) 3x^2-x-4
=>3x^2+3x-4x-4=0
=>3x(x+1)-4(x+1)=0
=>(3x-4)(x+1)=0
=>3x-4=0 | x+1=0
=> 3x=4 | x=(-1)
=> x=4/3 | x= (-1)
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