Answer:
[tex](x-12)[/tex] is a factor
Step-by-step explanation:
[tex]x^2-14x+24[/tex]
The product is 24 and sum is [tex]-14[/tex]
To factor it we need to find out two factors whose product is 24 and sum is [tex]-14[/tex]
[tex]-12 \cdot -2= 24[/tex]
[tex]-12 +(-2)= -14[/tex]
Two factors are [tex]-12 , -2[/tex]
[tex]x^2-14x+24[/tex]
[tex](x-12)(x-2)[/tex]
[tex](x-12)[/tex] is a factor
