Simplify (x − 7)(x − 5) using the FOIL method, and identify the resulting expression in standard form.
https://prnt. sc/redzi4

First:  x^2

Outer:  -5x

Inner:  -7x

Last:  35

Final Result:  x^2 - 12x + 35

Step-by-step explanation:

Step 1:  Foil the expression

(x - 7)(x - 5)

To foil, you multiply the first my the first, the first by the second, the second by the first, and the second by the second.

(x - 7)(x - 5)

(x * x) + (x * -5) + (-7 * x) + (-7 * -5)

1 by 1     1 by 2     2 by 1     2 by 2

x^2  -  5x   -   7x  +   35

first   outer   inner   last

x^2 - 12x + 35

 x^2 - 12x + 35

- both graphs increase on their domain.

- the graphs of both functions have the same x-intercept.

- neither graph has a y-intercept.