Answer:
[tex]\text{The factors are }(x-12)\thinspace and\thinspace (x+2)[/tex]
Step-by-step explanation:
Given the equation [tex]x^2-10x-24[/tex]
we have to find the factors of the above equation.
Equation: [tex]x^2-10x-24[/tex].
Numbers -12 and 2 gives multiplication -24 and addition -10
[tex]x^2-10x-24\\\\x^2-12x+2x-24\\\\x(x-12)+2(x-12)\\\\\text{Taking factor (x-12) common}\\(x-12)(x+2)[/tex]
Hence,
[tex]x^2-10x-24=(x-12)(x+2)[/tex]
[tex]\text{The factors are }(x-12)\thinspace and\thinspace (x+2)[/tex]
