Question

The model represents x2 â€" 9x 14. An algebra tile configuration showing only the Product spot. 24 tiles are in the Product spot: 1 is labeled x squared, 9 are labeled negative x, and 14 are labeled. Which is a factor of x2 â€" 9x 14? x â€" 9 x â€" 2 x 5 x 7.

Answer 1

The factors of the given model are (x+2) and (x+7)

Given the representation of the model expressed as;

$x^2+9x+14$

To get the factors, we will factorize the given quadratic function as shown:

$g(x) = x^2+2x+7x+14$

Group the functions to have;

$g(x) = (x^2+2x) + (7x+14)$

Factor out the GCF from both parenthesis:

$g(x) = x(x+2)+7(x+2)\\g(x)=(x+2)(x+7)$

Hence the factors of the given model are (x+2) and (x+7)

Learn more on factorization here: brainly.com/question/25829061