Name the subset(s) of real numbers to which each number belongs. Then order the numbers from least to greatest. 105−−−√,−4,43

(a)

(b)

Step-by-step explanation:

Given

Solving (a): The category of number the belong to

Solve the square root

The result is irrational;

So:

This has an integer numerator and denominator;

So:

Solving (b): Order from least to greatest

i.

ii.

iii.

List out the corresponding numbers:

10.246950766; -4 and 1.333333

Reorder: from least to greatest:

-4; -1.3333333 and 10.246950766

Hence; The correct order is:

a4 - 3a2 - 1

step-by-step explanation:

step   1   :

equation at the end of step   1   :

  ((a4) -   3a2) -   1

step   2   :

trying to factor by splitting the middle term

2.1     factoring   a4-3a2-1  

the first term is,   a4   its coefficient is   1 .

the middle term is,   -3a2   its coefficient is   -3 .

the last term, "the constant", is   -1