A. -f(1)=1,f(2)=2,f(n)=2f(n-1)f(n-2);n>2
<span>A polynomial with the given zeros can be represented as
f(x) = (x-1)(x-2)(x+2)(x+3).
Note that if you set f(x) = 0, then 1,2,-2, and -3 certainly are the solutions. From here, we simply multiply/expand out the polynomial. We can do this in a variety of ways, one of which is taking the left two and right two products separately. We have
(x-1)(x-2) = x^2 - 3x + 2
and
(x+2)(x+3) = x^2 + 5x + 6.
This gives that
f(x) = (x^2 - 3x + 2) (x^2 + 5x + 6).
Expanding this expression out then gives us our answer as
f(x) = x^4 + 2x^3 - 7x^2 - 8x + 12
or answer choice B.</span>
17/2, 8 and 1/2 or 8.5 are all the correct answers.
Answer:
Ones place: 456.3000
tenths place: 456.3000
hundredths place: 456.2990
thousandths place: 456.2991
