Answer:
The answer to your question is below
Explanation:
a)
![(s^(2)- 3s - 28 )/(s - 7)](https://img.qammunity.org/2021/formulas/mathematics/high-school/2tdke0622e4tz7pyapgi9iy5td5on3k7ka.png)
Factor the numerator is a polynomial of the form x² + bx + c
s² - 3s - 28 = (s - 7)( s + 4)
Substitute
![((s - 7)(s + 4))/((s - 7))](https://img.qammunity.org/2021/formulas/mathematics/high-school/5lcn8cirjo5fvgytzclv884e8tmkf6xz44.png)
Simplify like terms
Result s + 4
b)
![(c^(2) + 5c - 24)/(c + 8)](https://img.qammunity.org/2021/formulas/mathematics/high-school/d094ktr69lidtjbsgep6wpjzqm8zrjdyio.png)
Factor the numerator is a polynomial of the form x² + bx + c
c² + 5c - 24 = (c + 8)(c - 3)
Substitute
![((c + 8)(c - 3))/(c + 8)](https://img.qammunity.org/2021/formulas/mathematics/high-school/e9hfzl7hjk7w4oxwkrz0ocoyk0lqpifh8v.png)
Simplify like terms c - 3
Result c - 3