Factor the binomial or identify it as prime.
2z4 – 2
a. 2(z2 + 1)(z2 – 1)
b. 2(z2 + 1)(z – 1)(z + 1)
c. prime
d. 2(z2 + 1)2

The correct answer is B,

Step-by-step explanation:

Since the higher value of z's power, is 4, an even number, and the second number is negative, we can think that this binomial is made of a difference of squares, so that is what we are going to factorize.

First, extract the common number (if any), the number 2, we have now>

This is convenient since "1" is a wonderful number that has this feature> No matters what n's value is,

so the first equation can be written as

The later termn, can also be factorized, using the same as befre.

Remember that

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.