Answer:
a. 4th degree binomial
b. 2nd degree trinomial
c. 3rd degree monomial.
Step-by-step explanation:
In order to find each of these, start by writing the degree based on the highest exponent. The work for a is done for you below.
5x^4 - 8
This means it is a 4th degree.
Now we can decide what the final word is based on how many terms there are. In this one there is 2, so we call it a binomial.
4th degree binomial.
First let's find the GCF of 27, 36, and 72:
-->Find the factors of each number:
27: 1, 3, 9, 27
36: 1, 2, 3, 4, 9, 12, 18, 36
72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
-->Now look for the factors they have in common.
1, 3, and 9
-->Now see which one is the biggest number in value
9
--> So therefore, 9 is the GCF
Now let's find the LCM of 7, 4, 10, and 12
-->Start listing all the multiples of of each number
4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40... 420
7: 7, 14, 21, 28, 35, 42, 49, 56, 64, 70... 420
10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 120... 420
12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120... 420
(sorry got bored of typing so I fast forwarded at the '...'s)
--> The least number in value that they have in common is the LCM of those numbers
The LCM is 420
*Just saying that took forever to do that LCM part but not way too long thank goodness :p
10.5 is a rational number because it is a number that can be turned into a fraction.
10.5 = 10 1/2 = 21/2