Which of the following is a factor of x4 + 3x3 - 5x2 + 2x – 24?
a.) x – 2
b.) x – 3
c.) x – 5
d.) not factorable

ANSWER

A) x-2

EXPLANATION

Using the Remainder Theorem, if x=a is a factor of p(x), then p(a)=0.

Let

Since

x-2 is a factor of

For the other options,

Hence x-3 and x-5 are not factors of the given function.

The correct answer is A.

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560