The factors of the given model are (x+2) and (x+7)
Given the representation of the model expressed as;
[tex]x^2+9x+14[/tex]
To get the factors, we will factorize the given quadratic function as shown:
[tex]g(x) = x^2+2x+7x+14[/tex]
Group the functions to have;
[tex]g(x) = (x^2+2x) + (7x+14)\\[/tex]
Factor out the GCF from both parenthesis:
[tex]g(x) = x(x+2)+7(x+2)\\g(x)=(x+2)(x+7)[/tex]
Hence the factors of the given model are (x+2) and (x+7)
Learn more on factorization here: https://brainly.com/question/25829061