The factors of the quadratic equation are (x+3) and (x-15).
The factors of [tex]x^2-12x-45\\[/tex].
[tex]x^2-12x-45\\[/tex]
As we can see in the quadratic equation the value of ac is -45x². therefore, we need to divide -12x into two parts such that their sum must give -12x and their product gives us -45x².
therefore, dividing -12x into -15x and 3x,
[tex]x^2-15x+3x-45\\[/tex]
Taking common out,
[tex]x^2-15x+3x-45\\x(x-15)+3(x-15)\\(x+3)(x-15)[/tex]
Hence, the factors of the quadratic equation are (x+3) and (x-15).
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