Answer: The factor form of the function F(x) is
, where
gives two complex roots.
Explanation:
The given function is,

According to the rational root theorem 1 and -1 are the possible roots of each polynomial.
Put x=-1

Since the value of F(x) is 0 at x=-1 therefore the -1 is a root of given polynomial and (x+1) is a factor of F(x).
Use synthetic division method to divide the polynomial by (x+1).
The last row of the synthetic division shows the coefficient of remaining polynomial.

At x=2 the value of F(x) is 0, therefore (x-2) is a factor of F(x).
Use synthetic division method to divide the polynomial by (x-2).

Therefore the roots of F(x) are,


Where
factors with real root and
are factors with complex roots.
Answer:
Ok Im kinda of confused on how to wrote this out, I can understand the question, but i dont understand the options you've given me...
Step-by-step explanation:
Answer:
0.67
Step-by-step explanation:
The times that I choose a person and it claim english as its mother tongue is a random variable with geometric distribution (in this case, the parameter is p=0.82).
Then:
P(X=2) = (0.82) x (0.82) = 0.6724
Answer:
7
Step-by-step explanation:
The equation for future value F of principal P over t years at r% interest compounded continuously is
F=Pe^(rt) =>
8000 = 4000*e^(0.04*t)
Solve for t:
e^(0.04t)=8000/4000=2
0.04t=log(2)
t=log(2)/0.04=17.33 (years)