Answer:
Using synthetic division suffices to answer your question:
Step-by-step explanation:
Synthetic division is the process by one reduces a large polynomial in your case by a binomial in your case
.
To do so one does the following:
Since we divided by a linear binomial it reduces the power by one which produces the following quadratic:
Which can be factored in the following, and I will provide the complete factorization as well:
A Venn diagram is used to present the relationship between sets in a logical form
Please find attached the completed Venn diagrams for the questions with the contents outlined as follows;
1. The set of whole numbers 1 to 15 = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}
Set A = All even numbers in this set
Set A = {2, 4, 6, 8, 10, 12}
2. The set of whole numbers from 1 to 20
Set C = All even numbers = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20}
Set D = All multiples of 4 = {4, 8, 12, 16, 20}
3. The set of all whole numbers from 1 to 20
Set E = {2, 4, 6, 7, 9, 10}
Se F = {3, 4, 5, 9, 10, 13, 15, 16, 19,20}
Learn more about Venn diagrams here:
