Answer:
1. [tex]f (x) = x-1[/tex]
2. [tex]f (x) = x^2-7[/tex]
3. [tex]f (x) = x^3-25[/tex]
Step-by-step explanation:
Many polynomials can be formulated so that [tex]f(3) = 2[/tex], some are as follows:
1. [tex]f (x) = x-1[/tex]
verification:
[tex]f (3) = 3-1 = 2[/tex]
meets the condition.
2. [tex]f (x) = x^2-7[/tex]
verification:
[tex]f(3)=3^2-9=9-7=2[/tex]
also meets the condition
3. [tex]f (x) = x^3-25[/tex]
verification:
[tex]f (3) =3^3-25=27-25 = 2[/tex]
It is also valid.
