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)

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step-by-step explanation:

answer: it's a

step-by-step explanation: