factorize 12x^2 -x-6
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The answer of this question is -2/3 and 3/4
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12x²-x-6
using splitting the middle term ,
=> 12x²-9x+8x-6
(why ? => in a quadratic equation ax²+bx+c , where a,b,c could be any real numbers
in this equation too its the same thing
to split the mid term , we need to note that the two numbers we are splitting it into , their sum must be equal to that of mid term and product must be equal to the product of first and last term )
=> 3x(4x-3)+2(4x-3)
=> (4x-3)(3x+2)
hope this helps
using splitting the middle term ,
=> 12x²-9x+8x-6
(why ? => in a quadratic equation ax²+bx+c , where a,b,c could be any real numbers
in this equation too its the same thing
to split the mid term , we need to note that the two numbers we are splitting it into , their sum must be equal to that of mid term and product must be equal to the product of first and last term )
=> 3x(4x-3)+2(4x-3)
=> (4x-3)(3x+2)
hope this helps
rockey3:
thanku for deep explanation
welcome
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