Answer:
[tex]h=x^2-12x+35[/tex]
Step-by-step explanation:
Since [tex]x=5[/tex] is the solution to [tex]x-5=0[/tex] and [tex]x=7[/tex] is the solution to [tex]x-7=0[/tex], then we multiply the two expressions to get our quadratic function:
[tex]h=(x-5)(x-7)\\\\h=x^2-12x+35[/tex]
Review the attached graph for a visual