Answer:
Hence, the value that Simon should write on the line i.e. in the blank space is: 2
( Since, [tex]x^2-4x-12=(x+2)(x-6)[/tex] )
Step-by-step explanation:
We are asked to fill in the blank with the value obtained on factoring the polynomial:
[tex]x^2-4x-12[/tex]
on sing the method of splitting the middle term we will factor our polynomial as follows:
[tex]x^2-4x-12=x^2-6x+2x-12\\\\x^2-4x-12=x(x-6)+2(x-6)\\\\x^2-4x-12=(x+2)(x-6)[/tex]
Hence, the value that Simon should write on the line i.e. in the blank space is: 2
( Since, [tex]x^2-4x-12=(x+2)(x-6)[/tex] )
