Find number a and k so that x-2 is afactor
OF F(x)=x4-2ax tax-
X+k and F(-1)=3

Question:

Find numbers a and k so that x-2 is a factor of

and

and

Step-by-step explanation:

Given

Required

Find a and k

For

Substitute -1 for x

Substitute 3 for f(-1)

Collect Like Terms

Also:

If is a factor, then

Substitute 2 for x and 0 for f(x)

Collect Like Terms

Substitute 12a - 14 for k in

Collect Like Terms

Solve for a

Substitute 1 for a in

the answer   is 200

step-by-step explanation:

this is a problem about poisson probabilities.   i don't know if you've

already studied poisson distributions, or if you have a place to look

to read more about the subject.  

here's how you can see a poisson distribution coming.   when there are

a lot of events that may happen at any time (or any place), and when

you're counting how many of them happen at a particular time (or a

particular place), and each event is independent of the others, then

the result is a poisson distribution.   this is roughly true for the

chocolate chips; one chip being in a cookie has only a small effect on

the probability that another chip will be in the cookie.

once you know you have a poisson distribution, you know a lot.   there

is only one parameter to a poisson distribution, so if you know the

mean, you know everything.   the form of the distribution is

  probability of n chips = {[e^(-x)]*(x^n)} / (n! )

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