Answer:
The answer to your question is below
Step-by-step explanation:
a) [tex]\frac{s^{2}- 3s - 28 }{s - 7}[/tex]
Factor the numerator is a polynomial of the form x² + bx + c
s² - 3s - 28 = (s - 7)( s + 4)
Substitute
[tex]\frac{(s - 7)(s + 4)}{(s - 7)}[/tex]
Simplify like terms
Result s + 4
b) [tex]\frac{c^{2} + 5c - 24}{c + 8}[/tex]
Factor the numerator is a polynomial of the form x² + bx + c
c² + 5c - 24 = (c + 8)(c - 3)
Substitute
[tex]\frac{(c + 8)(c - 3)}{c + 8}[/tex]
Simplify like terms c - 3
Result c - 3
