Find two values for k such that the trinomial x2 – 7x + k can be factored over the integers. Explain your reasoning.

1) For : and , 2) For : and

Step-by-step explanation:

The polynomial is a second-order polynomial of the form . By direct comparison, we construct the following system of equations:

(1)

(2)

By (1) we know that there are a family of pairs such that the system of equations is satisfied. Let suppose that both and are integers. We assume two arbitrary integers for :

1)

2)

the equation for this situation is y=122+45. to solve the equation you would add 45 and 122 to get a total of 167lbs. in conclusion, grace's weight eight weeks ago was 167lbs.