What is the complete factorization of the polynomial below? x^3+2x^2+ x + 2

The complete factorization is (x^2 + 1)(x + 2)

Step-by-step explanation:

In order to find this, we start by splitting the 4 term polynomial into two, two-term polynomials. Then we pull out the greatest common factor of each.

x^3 + 2x^2 = x^2(x + 2)

x + 2 = 1(x + 2)

Since the remaining parentheses are identical, we use that and the two outside to factor.

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