-0.75 is a rational number because it can be expressed as the fraction -3/4 and it is an integer
Note that it said find "a" formula for P(x). We can infer from this as there are multiple possibilities.
In fact, there are many possible P(x) that fits the bill.
You got the most important part correct, namely
(x+5)(x-5)^2.
In general, P(x)=A(x+5)(x-5)^2 will work, but we need to satisfy also y-intercept of P(0)=-75.
If we expand the expression, we get
P(x)=A*x^3A-5A*x^2-25A*x+125A
=>
P(0)=125A.
So setting A=-3/5 => P(0)=-75 as required.
or
P(x)=-3/5(x+5)(x-5)^2
will satisfy all requirements.
It would be nice exercise for you to confirm that it is indeed the polynomial required.
This was solved by factoring.
Answer:
2
Step-by-step explanation:
4 divided by 2 =2