Find the least common multiple of x3 - x2 + x - 1 and x2 - 1. write the answer in factored form. a. (x + 1)2(x - 1) b. (x + 1)(x - 1)(x2 + 1) c. (x3 - x2 + x - 1)(x2 - 1) d. (x + 1)(x - 1)(x2 - 1)

Option B is correct.

Step-by-step explanation:

Given Expression , x³ - x² + x - 1   and x² - 1

We have to find Least common multiple of both expression then answer it in factor form.

First we factorize individual expressions.

Consider,

x³ - x² + x - 1

= x² ( x - 1 ) + 1 ( x - 1 )

= ( x² + 1 ) ( x - 1 )

Now consider,

x² - 1

= ( x - 1 )( x + 1 )

Common factor = ( x - 1 )

So, LCM = ( x - 1 ) ( x + 1 )( x² + 1 )

Therefore, Option B is correct.

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